4) Solve each pair of simultaneous equations.
a. x+y=1 y=2x-8
b. x+y= 19 y=5x+1
c. x+y=-2 y=x-10



5) Solve these simultaneous equations.
3x=y x=y-16​

Answers

Answer 1
4) a. x+y=1–(1)
y=2x-8—(2)
(2) into (1)
x+(2x-8)=1
3x-8=1
3x=1+8
x=9/3
x=3—(3)
(3) into (2)
y=2(3)-8
y=-2

ans x=3, y=-2

b. x+y=19—(1)
y=5x+1—(2)

(2) into (1)

x+(5x+1)=19
6x+1=19
6x=19-1
x=18/6
x=3—(3)

(3) into (2)

y=5(3)+1
y=16

ans x=3, y=16

c.x+y=-2—(1)
y=x-10—(2)

(2) into (1)

x+(x-10)=-2
2x-10=-2
2x=-2+10
x=8/2
x=4–(3)

(3) into (2)
y=4-10
y=-6

ans x=4, y=-6


5) 3x=y—(1)
x=y-16–(2)

(2) into (1)

3(y-16)=y
3y-48=y
2y=48
y=48/2
y=24–(3)

(3) into (2)

x=24-16
x=8

ans x=8, y=24

Related Questions

PLEASE ANWSER CORRECTLY!! I WILL MARK BRAINIEST!!!

Answers

Step-by-step explanation:

the midpoint is(4,1)

that is the answer

Answer:

(4, 1 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = P (6, 6 ) and (x₂, y₂ ) = Q (2, - 4 ) , then

midpoint = ( [tex]\frac{6+2}{2}[/tex] , [tex]\frac{6-4}{2}[/tex] ) = ( [tex]\frac{8}{2}[/tex] , [tex]\frac{2}{2}[/tex] ) = (4 , 1 )

using the graph, determine the coordinates of the roots of the parabola​

Answers

Answer:

(-1, 4)

Step-by-step explanation:

Use of the coordinate plane.

The vertex of the parabola is 1 to the left and up 4.

Think of the vertex as where the curve starts.

Answer:

-3 and 1

Step-by-step explanation:

Hello!

The roots of the parabola are the intersections of the graph and the x-axis (y = 0).

Since the graph's vertex is above the x-axis and opens down, the graph has two roots.

The points of intersection are:

[tex](-3,0)[/tex][tex](1,0)[/tex]

Therefore, the roots of the parabola are -3 and 1.

What is the equation for the line shown, in slope-intercept form?
Question 8 options:

A) y = 2x - 2


B) y = -2x + 4


C) y = -4x - 2


D) y = -2x - 4

Answers

Answer: Solution In Photo

Answer:

D) y = -2x - 4

Step-by-step explanation:

Use the points:

(-2, 0) and (0, -4)

The y- intercept is  - 4 and the slope is:

m = (-4 - 0)/(0 - (-2)) = -2

The line is:

y = -2x - 4

Correct choice is D

[50 pts, will mark right answer as Brainliest] A bag contains the following prize tickets:
• 6 tickets labeled “8-ounce bottle of SLIME”
• 2 tickets labeled “4 RINGTONES”
• 8 tickets labeled “32-ounce SLUSHIE”
• 4 tickets labeled “16-ounce ICE CREAM SUNDAE”.
Each of the 190 7th grade students who passed the Math benchmark test will draw a prize ticket from the bag. The prize will be recorded for that student, then the ticket will be returned to the bag. Problem What is a reasonable prediction for the number of times a slushie or an ice cream sundae prize ticket will be drawn?

Answers

Answer:

114

Step-by-step explanation:

Total number of tickets:

6 + 2 + 8 + 4 = 20

Number of slushie or an ice cream sundae prize tickets:

8 + 4 = 12

Probability of drawing a slushie or an ice cream sundae prize ticket:

12/20 = 0.6

Predicted number of times a slushie or an ice cream sundae prize ticket will be drawn:

190*0.6 = 114

5. Which point lies on the line: y - 4 = -3(x + 2)?

Answers

Answer:

(- 2, 4 )

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 4 = - 3(x + 2) ← is in point- slope form

with (a, b ) = (- 2, 4 )

Find the outlier of the data set.
43, 69, 49, 78, 88, 54, 73, 194, 54, 59, 70

Answers

Answer:

194

Step-by-step explanation:

because no one else is above 100

The angles of a quadrilaterals are x⁰, (x-10)⁰, (x+30)⁰ and ( 2x)⁰, then the greater angle is​

Answers

Answer:

136°

Step-by-step explanation:

The sum of the interior angles of a quadrilateral = 360°

Sum the given angles and equate to 360

x + x - 10 + x + 30 + 2x = 360 , simplify left side

5x + 20 = 360 ( subtract 20 from both sides )

5x = 340 ( divide both sides by 5 )

x = 68

Then

largest angle = 2x = 2 × 68 = 136°

helppppppppppppppppppppppppppp

Answers

the answer is sometimes

please helppppp I will mark brainliest

Answers

4 units your welcome and if it’s not what ur looking for ask me

PLZ Help!!!
the ratio of a rectangle's length to width is 4:17. if the longer side is 31.5 in., find the width, perimeter, and area of this rectangle

Answers

Answer:

L = 31.5

w = (4/7)31.5 = 18

p = 2 * 31.5 + 2 * 18

A = 31.5 * 18

Step-by-step explanation:

Yw

If 1 in = 2.54 cm, how many inches are in 328 cm?


please help it’s due soon

Answers

The answer is 129.134 inches!

Answer:

129.1 inches

Step-by-step explanation:

Recall that 2.54 cm = 1 in.

Write 328 cm and recognize that we need to convert this to inches:

328 cm      i in

------------ * ------------- = 129.1 inches

      1          2.54 cm

How much simple interest does $4,678.00 earn in 529 days at a rate of 7.3%? Round to the nearest cent.

Answers

Answer:

$5,172.93

Step-by-step explanation:

We're gonna use the simple interest formula: P = A(1 + r(t))

P = final amount

A = starting amount (4,678)

r = rate (0.073)

t = years (529/365)

P = 4,678(1 + 0.073(529/365))

P = 5,172.9324

what is the answer to 4x=8

Answers

Answer:

2

Step-by-step explanation:

Shrek ✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨

i need help! do i subtract the 45-64? or add!?

Answers

Answer:

19°

Step-by-step explanation:

180-64=116

116+45=161

180-161=19

Answer:

B) 19

Step-by-step explanation:

find the other angle of W first.

to do that, take 180 - 64

that makes angle W 116

add angle W and angle Y

116 +45 = 161

take 180 - your answer

180 - 161 = 19

B is your answer

have a wonderful day <3

The difference of two number is 169 the smaller number is 191 what is the other number

Answers

The answer is: 360,

191 + 169 = 360
360 - 191 = 169

determine the intercepts of the line

x intercept: ?,?
y intercept: ?,?

Answers

Answer:

x-int = 4.5

y-int = -1

solve the triangle congruence using the word bank

Answers

Answer:

I don't know I'm sorry man!

!HELP! What Is the Value of W??

Answers

Answer:  

W equals 31.17

Step-by-step explanation:


Help I’ll mark as brainliest !!!

Answers

Answer:

a. substracting...................

Subtract. If you use the PEMDAS or. PEMDAS would be starting with Parenthesis then Equations then Multiplication than Division then Addition the Subtraction.

This is not math sorry! Also this is multiple choice so I have to chose all the answers thst apply

Answers

It’s the last one which would be an ecosystem

Asley paid $800 for a cellphone and sold it for $1050. Calculate the profit % made on the selling phone​

Answers

Step-by-step explanation:

31.25%

1050-800=250

250/800=0.3125

0.3125×100=31.25%

How to solve this? I don’t get it how it is x=3 where she solve this ?

Answers

Step-by-step explanation:

Given the logarithmic expression:

[tex]3log_{5}2 + log_{5}x = log_{5}24[/tex]

Using the Logarithmic Product Rule:

[tex]log_{a}x + log_{a}y = log_{a}(xy)[/tex]

And the Logartihmic Power Rule:

[tex]log_{a}x^{y} = ylog_{a}x[/tex]

Rewriting your given logarithmic expression by applying the power rule:  

[tex]log_{5}2^{3} + log_{5}x = log_{5}24[/tex]

I will use the following logarithmic property to cancel out the logarithmic expressions, which will show why x = 3.

    [tex]_{b}log_{b}x = x[/tex]

Raise each logarithmic expression by the same value as the base, 5:  

[tex](_{5}log_{5}2^{3} ) + (_{5}log_{5}x )= (_{5}log_{5}24)[/tex]

2³(x) = 24  (2³ is multiplied with x instead of addition because of the Product Rule).  

Now that you're left with just 2³(x) = 24, it's easy to see why the answer is x = 3:

2³(x) = 24

8x = 24

Divide both sides by 8:

8x/8 = 24/8

x = 3

What are the solutions to the system of equations graphed below?
8
6
4
2
-
-6
-4
4
6.
8
O A. (2, 8) and (0, -3)
B. (-3,0) and (3, 0)
C. (4,8) and (0, -8)
O D. (2,0) and (0,8)

Answers

Answer:

B. (-3,0) and (3,0)

Step-by-step explanation:

The curved line crosses through both of these points, and these points are the only ones out of all the choices, to line up perfectly. Remember that ordered pairs (x,y) represent the x and y values.

I really tried to explain this to you, so let me know if this helped :)

The solution of the system of equations graphed are (4,8) and (0, -8)

What is a system of equations?

A system of equations is a set or collection of two or more equations with the same variables. The common solutions are the intersecting points of the equations.

Given that is a graph of system of equations, we need to find the solution,

We know that the common solutions are the intersecting points of the equations.

So, here the curve and the line are intersecting at (4,8) and (0, -8)

Hence, the solution of the system of equations graphed are (4,8) and (0, -8)

Learn more about system of equations click;

https://brainly.com/question/12895249

#SPJ5

Look at link/picture

Answers

In order for this to become a true statement, the value of n would have to be 5

May I please receive help?


Please?

Answers

Answer:

Step-by-step explanation:

Rewrite all the equations in standard form of y=mx+b

1. Parallel: They have the same slope of -(3/5)

2. Neither

3. Neither

What is the LCM for 12 and 4

Answers

Answer:

12

Step-by-step explanation:

Graph the solution to this system of inequalities in the coordinate plane.
3y > 2x + 12
2x + y< -5

Answers

Answer:

The vertices of both where they cross show (-4,1)

Step-by-step explanation:

3y > 2x + 12

x < 3(y - 4)  / 2

y > 2 (x + 6)  / 2

2x + y< -5

= x> -5

set = together

x < 3(y - 4)  / 2  shows dotted ascending line attached through x=-6

This means x=--6 y = 0

x>-5 shows boundary dotted vertical line through -5

this means x = -5 y = 0

If it had been x ≥ -5 it would have been solid boundary line.

The area within the dotted lines create a right angle triangle where the far left angle shows ascends to (-6, 0) and crosses y at 0,4 however the shaded area will not got hat far and stop at -4,0 and the area below.

As seen attached when both are plotted with dash dotted boundary lines.

The vertices of both show (-5,1)

I rlly need help with thins question asap​

Answers

Answer:

The 3 one is 2 and the forth one is 10

Step-by-step explanation:

i did the math

Answer:

2 miles; 10 miles

Step-by-step explanation:

For a distance of 3,520 yards...

3,520 = 1,760m

Divide both side by 1,760

m = 2 miles

For a distance of 17,600 yards...

17,600 = 1,760m

Divide both sides by 1,760

m = 10 miles

cual es la razon de 0.240 y 0.12

Answers

Answer:

8686787876876

Step-by-step explanation:

67886868768768p765756u565656t443o

Diane is going to rent a truck for one day. There are two companies she can choose from, and they have
Company A charges $74 and allows unlimited mileage.
Company B has an initial fee of $65 and charges an additional $0.60 for every mile driven.
For what mileages will Company A charge less than Company B?
Use m for the number of miles driven, and solve your inequality for m.
>
ISO
DO
Х

Answers

Answer:

Step-by-step explanation:

Company A Total Cost:  Ca = $74

Company B Total Cost:  Cb = $65+$0.60m, where m is the miles driven.

We want to find for what values of m with Company A charge less than Company B:

Ca < Cb  ?

$74 < $65 + $0.60m

$9 < $0.60m

15 < m

m > 15 miles

Company A will cost less than Company B when less than 15 miles are driven.  The costs are the same for 15 miles and higher for Company B beyond 15 miles.

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