Solve for y: 3x - 2y - 7 = 0
Answers
Answer:
x
=
1
and
y
=
−
2
Explanation:
Here ,
3
x
−
2
y
=
7
...
.
→
(
1
)
5
x
+
y
=
3
...
...
→
(
2
)
Multiplying eqn.
(
2
)
by
2
and adding:
i
.
e
.
(
1
)
+
2
×
(
2
)
we get
3
x
−
2
y
=
7
10
x
+
2
y
=
6
−−−−−−−−−−−−−
13
x
+
0
=
13
∴
x
=
1
Subst.
x
=
1
into
e
q
n
.
(
2
)
we get
5
(
1
)
+
y
=
3
∴
5
+
y
=
3
∴
y
=
3
−
5
∴
y
=
−
2
Hence,
x
=
1
and
y
=
−
2
Answer:
[tex]y=\frac{3}{2}x+\frac{-7}{2}[/tex]
Or, for a more simplified version:
[tex]y=\frac{3x}{2}-\frac{7}{2}[/tex]
Or, for an EVEN MORE simplified version:
[tex]y=\frac{3x-7}{2}[/tex]
Step-by-step explanation:
There are three different forms of answers that I put for you, but they are all still equivalent answers, it’s just that one is more simplified than the other. If I were you, I would pick the most simplified version.
Also, the image below shows step-by-step on how to solve it.
Hope this helps! :)
Related Questions
NEED HELP ASAP!
The sum of two numbers is 105. The larger number is 6 less than twice the smaller
number. What are the numbers?
Answers
Answer: x=68, y=37
Step-by-step explanation:
The equation for the sum of two numbers is 105 would be x+y=105. You can say the larger number would be x and the smaller would be y. So, x=2y-6. then you plug that into the x in the first equation.
2y-6+y=105
3y-6=105
3y=111
y=37
Then you would plug in the y to one of the equations. I will do the second one but you can do either one.
x=2y-6
x=2*37-6
x=74-6
x=68
1 3 Which is the best estimate of 11. 113 2 4? O 4 O 6 o 22 O 33
Answers
Answer:22
Step-by-step explanation:
PLEASE HELP ASAP Which of the following expressions is equivalent to the expression 42 + 90?
Answers
Answer:
6(7+15)
Step-by-step explanation:
6×7=42
6×15=90
HELP
ME
PLEASE!!!!!NOWWW
Answers
Answer:
1.a
2.j
3.g
4.d
5.i
6.l
7.b
8.c
9.f
10.h
11.e
12.k
Step-by-step explanation:
GENERATE THE FIRST 4 Terms of f(n)=-2(n-1)+8
Help
Answers
Answer:
8, 6, 4, 2
Step-by-step explanation:
f(n)=-2(n-1)+8
Plug n =1
f(1)=-2(1-1)+8 = - 2*0+8 = 0+ 8 = 8
Plug n =2
f(1)=-2(2-1)+8 = - 2*1+8 = - 2+ 8 = 6
Plug n =3
f(1)=-2(3-1)+8 = -2*2+8 = -4+ 8 = 4
Plug n =4
f(1)=-2(4-1)+8 = -2*3+8 = -6+ 8 = 2
A school hoped to raise $30,000 at an auction to pay for
new computers. After the auction was over, the school
found they had made $34,800. What percent of their goal
did the school raise?
A
186%
B
116%
с
86%
D
16%
Answers
Explanation:::
Ms. McGuirk wants to know if she built her son's new sandbox with a perfect right angle or not? The shorter sides are 15 feet and 8 feet what should the measure of the 3rd side be to make it a perfect right angle?
Answers
Answer:
17 feet
Step-by-step explanation:
A right angle has 3 sides: the adjacent, the opposite and the hypotenuse.
The hypotenuse is the largest side of the right angle
The shorter sides are 15 feet and 8 feet which should represent opposite and adjacent sides respectively
Opposite = 15 feet
Adjacent = 8 feet
Hypotenuse = x feet
Using Pythagoras theorem to solve
Hypotenuse ² = opposite ² + adjacent ²
x² = 15² + 8²
x² = 225 + 64
x² = 289
Find the square root of both sides
√x² = √289
x = 17 feet
The 3rd side is 17 feet
Plz help I’m getting timed
Answers
Answer:
$38,465
Step-by-step explanation:
35 x 1,099 = 38,465
find the greatest common factor and the least common multiple of 12 and 20 explain
I’ll give brainleast
Answers
Answer:
GCF: 4
LCM: 60
Solve the inequality 3(x - 7) + 2(4x + 9) > 0.
Answers
Answer:
x>3/11
3x - 21 + 8x + 18 >0
11x - 3 >0
11x >3
x>3/11
Answer:
Step-by-step explanation:
3(x - 7) + 2(4x + 9) > 0
3x-21+8x+18>0
11x-3>0
11x>3
x>3/11
derivative of (a^x/Log a)?
Answers
[tex]\sf{\dfrac{a^x}{log(a)} }[/tex]
(OR)[tex]\sf{\dfrac{a^x}{ln(a)} }[/tex]
[tex]\large\bold{\underline{\underline{Solution:-}}}[/tex][tex]\sf{Let\ y=\dfrac{a^x}{ln(a)} }[/tex]
[tex]\sf{=\dfrac{d}{dx}\bigg[\dfrac{a^x}{ln(a)} \bigg] }[/tex]
(Linear differentiation)[tex]\sf{=\dfrac{1}{ln(a)}.\dfrac{d}{dx}(a^x) }[/tex]
[tex]\sf{=\dfrac{ln(a)a^x}{ln(a)} }[/tex]
[tex]\boxed{\sf{=a^x}}[/tex]
[tex]\large\bold{\underline{\underline{Applied:-}}}[/tex]✭ Linear differentiation→ [tex]\sf{[a.b(x)+c.d(x)]'=a.b'(x)+c.d'(x)}[/tex]
✭ Exponential function rule
→ [tex]\sf{(a^x)'=ln(a).a^x}[/tex]
Answer:
a^x.
Step-by-step explanation:
y = a^x / log a
Assuming the log is to the base e:
y = (1/ log a) * a^x
Derivative of a^x:
Let u = a^x
log u = log a^x
log u = x log a
1/u * du/dx = log a
du/dx = = u * log a
y = (1 / log a) * u
so dy/du = 1/log a
and dy/dx = dy/du * du/dx
= (1/log a )* log a u
= u
= a^x.
solve -1 < x + 1 ≤ 6
Answers
Answer:
-2<x≤5
Step-by-step :
-1<x+1≤6 So fisrt what every we do to one side we must do to the other. In this case it's a bit different since we are dealing with inequalities.
-1<x+1≤6 I would start off by isolating x in the middle.
-1<x+1≤6 I subtracted 1 from all three sides.
-1 -1 -1
Now your equation should look like this:
-2<x≤5 Now there is really nothing much we can do here since we were just trying to get x by its self.
Answer : -2<x≤5
Can someone help please
Answers
Answer:
b
Step-by-step explanation:
Evaluate the following expression using the values given: Find LaTeX: 3r^2-5s+6t3 r 2 − 5 s + 6 t if LaTeX: r=2,\:s=-4,\:t=-1r = 2 , s = − 4 , t = − 1
Answers:
-2
26
38
-14
Answers
Answer:
26
Step-by-step explanation:
These problems always really confuse me but I took a quiz with this question and this is my answer 26
Answer:26
Step-by-step explanation:
i just took the test
Find the perimeter and area of the polygon
Answers
Answer:
p= 76
A=338
Step-by-step explanation:
Perimeter: 15+18+18+8+17=76
Area:
15x18=270+(8x17/2)
270+68=338
I need help with this question pls
Answers
Answer:
A. would be a.
Step-by-step explanation:
Answer:
a) D
b) 4.09 cm
Step-by-step explanation:
a) P of a circle is 22/7 D
Half a circle 1/2 22/7 D
D= 2r
1/2 22/7 2x (D)
b) Find Radius
P = (3.142 * (2r) )
25.71 = 3.142 *2r
r= 4.09 cm
Can somebody help me on this
Answers
Answer/Step-by-step explanation:
a. 3x + 13 = 12x - 2x
Add like terms
3x + 13 = 10x
3x = 10x - 13 (subtraction property of equality)
3x - 10x = - 13 (substraction property of equality)
-7x = -13
-7x = -13/-7 (division property of equality)
x = 13/7
b. 6j - 12 + 4j - 8 = 10
Add like terms
6j + 4j - 12 - 8 = 10
10j - 20 = 10
10j = 10 + 20 (addition property of equality)
10j = 30
10j/10 = 30/10 (division property of equality)
j = 3
c. 10y - 4y = 14 + 2y - 3y
Add like terms
6y = 14 - y
6y + y = 14 (addition property of equality)
7y = 14
7y/7 = 14/7
y = 2
d. 4p + 8 - 3p = 33
Add like terms
4p - 3p + 8 = 33
p + 8 = 33
p = 33 - 8 (subtraction property of equality)
p = 25
what is the sum of four consecutive odd numbers is 80?
Answers
Answer:
Let first number be x , so other numbers will be x+2,x+4 and x+6. Now sum of all these number is 4x+12=80 or x=(80–12)/4=68/4=17 . So numbers are 17,19,21 and 23.
Answer:
90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you
Step-by-step explanation:
[WORTH 100 WHOLE POINTS] !!
I need it soon!!
Answers
2. 3/5
3. i do not understand
4. 1/2 (even chance)
Answer:
1. 1/5 2. 3/5 4. 1/2 I dont know what 3 is
Step-by-step explanation:
Line m has the equation y = 1/2x - 4
If lines m and n are parallel to each other, which of the following equations could represent line n?
2x+y=4
2x-y=4
X+2y=4
X-2y=4
Answers
Answer:
As the slopes of both lines 'm' and 'n' are the same.Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.
Step-by-step explanation:
We know that the slope-intercept of line equation is
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept
Given the equation of the line m
y = 1/2x - 4
comparing with the slope-intercept form of the line equation
y = mx + b
Therefore,
The slope of line 'm' will be = 1/2
We know that parallel lines have the 'same slopes, thus the slope of the line 'n' must be also the same i.e. 1/2
Checking the equation of the line 'n'
[tex]x-2y=4[/tex]
solving for y to writing the equation in the slope-intercept form and determining the slope
[tex]x-2y=4[/tex]
Add -x to both sides.
[tex]x - 2y + (-x) = 4+(-x)[/tex]
[tex]-2y = 4 - x[/tex]
Divide both sides by -2
[tex]\frac{-2y}{-2}=\frac{-x+4}{-2}[/tex]
[tex]y=\frac{1}{2}x-2[/tex]
comparing ith the slope-intercept form of the line equation
Thus, the slope of the line 'n' will be: 1/2
As the slopes of both lines 'm' and 'n' are the same.Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.
What is the value of (2)⁶?
Answers
Answer:
64
Step-by-step explanation:
2 to the sixth power would be 2 multiplied by itself 6 times
I am very confused with this problem please help me
Answers
Answer:
The answer is -0.5
Step-by-step explanation:
Divide both side by the numeric factor on the left side then solve
The line plot shows the number of hours students in Mrs. Timberlake’s class worked on a project. How many students are included in the data?
Answers
Answer:
15
Step-by-step explanation:
I got this answer because I just added up all the x's.
1=3
2=2
3=5
4=3
5=2
3+2= 5
5+5=10
10+3=13
13+2=15
What is three hundred forty two thousandths in decimal form?
Answers
Answer:
C
Step-by-step explanation:
it says thousandths and a number group with a th at the end is on the right of the decimal.
Answer:
C: 0.342
Step-by-step explanation:
Here's how it works:
.(tenth)(hundredth)(thousandth)
Therefore,
"Three hundred forty-two thousandths" is 0.342.
Andrew buys 8 pounds of apples for $11.60. He wants to know and use the unit rate of the cost per pound.
True or False: Two pounds of apples cost more than $3.
Answers
Answer:true
Step-by-step explanation:
if a student answer 67 exam questions correctly out of 100,what fraction and what personage of question did the students answers incorrectly.
A. 67/100
B.67%
C. 0.67
D. 30/100
E. 33 %
F. 33/100
Answers
Answer:
A and D
Step-by-step explanation:
67 right out of 100 for the fraction and 67/100 = 67%
What is the measure of ∠ ACD?
Answers
Answer:
so 1st, subtract 33 and 117 from 180
180-117-33= 30
then you subtract 30 from 180
180-30= 150
and your measurement of angle ACD is 150
solve for x (log) PLEASE HELP ASAP! thank you!!!! *will give brainliest ofc*
Answers
Answer:
( D ) x = 6
Hope this helps !! :)
2 pens in each pack of black pens 5 pens in each pack of red pens 6 pens in each pack of green pens On Monday number of packs sold of black, red and green pens = 7 : 3 : 4 A total of 212 were sold.
Answers
Answer:
The number of green pens sold is 96.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
A shop sells packs of black pens, packs of red pens and packs of green pens. There are:
2 pens in each pack of black pens
5 pens in each pack of red pens
6 pens in each pack of green pens
On Monday, number of packs of black pens sold : number of packs of red pens sold : number of packs of green pens sold = 7:3:4
A total of 212 pens were sold.
Work out the number of green pens sold.
The explanation of the answer is now given as follows:
Since the ratio is given in packs of pens, we have to first convert it to number of pens based on the number of pens in each pack. Therefore, we have:
7:3:4 is converted to (7 * 2) : (3 * 5) : (4 * 6) = 14 : 15 : 24
Based the new ratio, we have:
Weight of contribution of the green pens to the total number of pens sold = 24 / (14 + 15 + 24) = 24 / 53 = 0.452830188679245
The number of green pens sold can now be calculated as follows:
Number of green pens sold = Total pens sold * Weight of contribution of the green pens to the total number of pens sold = 212 * 0.452830188679245 = 96
Therefore, the number of green pens sold is 96.
can someone answer the problem, please?
158
× 4
Answers
Answer:
the answer is 632
Step-by-step explanation:
just do some normal multiplication. :)