Solve the system of equations by substitution.
X + y = 21
y = 6x

Answers

Answer 1

Answer:

x = 3

y = 18

Step-by-step explanation:

you replace y with 6x

x + 6x = 21

combine like terms

7x = 21

divide both sides by seven

x = 3

then you plyg 3 into the other equation

y = 6(3)

y= 18

Answer 2

Answer:

x=3

y=18

Step-by-step explanation:

x+y=21..........equation 1

or,x=21-y......equation 2

y=6x.......equation3

substituting the value of x in equation 3

y=6(21-y)

or,y=126-6y

or,7y=126

y=18

again,substituting the value of y in equation 2

x=21-y

or,x=21-18

x=3

x=3,y=18


Related Questions

Leo placed a ladder against the back of his store building to paint a sign. The top of the ladder was 9 feet above the ground and the bottom of the ladder was 3 feet from the base of the building. What is the length, to the nearest tenth of a foot, of the ladder?

Answers

You’ll want to draw a triangle if you imagine the ladder leaning against the building it forms a right triangle with height “a” being the distance from the ground to the window, and the hypotenuse “c” being the length of the ladder. We want to solve for base “b” and the distance between the foot of the ladder and the building
Recall the Pythagorean theory
a^2 + b^2 = c^2
9.5 feet is the length of the ladder.

Shane reads 16 pages in 8 minutes.
a. How many pages does Shane read per minute,
b. How many minutes does Shane spend reading each page

Answers

A. 2 pages per minute
B. 1/2 minute per page

Hope this helps
A irs to pages per screen
B is you down to 5

f^-1(-10) + f(-6)
Please help!!!!

Answers

Answer:

-10/f-6f

Step-by-step explanation:

simplify it the equation

Help need to know if I did this right question in picture

Answers

Answer:

Wrong. If the line segment AB= 10, then the measure of AC= 10 as well. It's a right triangle. All the sides are the same.

Step-by-step explanation:

Answer: Not correct.  The tic marks on the angles mean that this is an equilateral triangle  

All the line segments are equal. If a length is given for one side of the triangle, the others are the same

All the angles are equal. The total of all the angles is 180. to find any one of them divide 180 ÷ 3

Step-by-step explanation:  This looks like a test item, so we are not supposed post answers.

So I hope this is enough to help you make the corrections yourself.

Orange
A package of 15 party hats
costs $9.75. At this rate, what is the
cost of each party hat
in dollars and cents?

Answers

divide 9.75 by 15 equals sixty ixty five cent's

0.65 cents will be the cost of each party hat.

Which fraction represents the ratio of the red portion of the circle to the
complete circle?

Answers

Answer:

can you add a picture of the circle?

Step-by-step explanation:

please please help i’ll give brainliest tysm :)

Answers

Answer:

4,400

Step-by-step explanation:

Hope this helps!

I HAVE 70 POINTS SHOULD I GIVE THEM AWAY

Answers

Answer:

yes lol unless u dont wanna

Answer:

If you want, but I'm open :P

Step-by-step explanation:

:D

Is this relation a function

Answers

Answer:

You can tell if a relation is a function if each input value only has ONE output value. Examples below

Step-by-step explanation:

What is the relationship between two similar quadrilaterals and their areas?

Answers

Quadrilaterals with same length and breadth or height have same areas.

Step-by-step explanation:

You can prove this by drawing two quadrilaterals individually and then by calculating there areas.

t the ratio of the perimeters of similar figures is equal to their scale factor and that the ratio of their areas is equal to the square of their scale factor.

I need 6x-10 ima not too good with these

Answers

x=11

the angles are congruent so 6x-10=56

6x=66

x=11

please solve this equation and show work please tysm 3(g−7)=2(10+g)

Answers

Answer:

g=41

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(g−7)=2(10+g)

(3)(g)+(3)(−7)=(2)(10)+(2)(g)(Distribute)

3g+−21=20+2g

3g−21=2g+20

Step 2: Subtract 2g from both sides.

3g−21−2g=2g+20−2g

g−21=20

Step 3: Add 21 to both sides.

g−21+21=20+21

41

Step-by-step explanation:

3(g-7)=2(10+g)

3g-21=20+2g

3g-2g=20+21

g=41

Can you please help me?!!!

Answers

Answer:

2 2/3

Step-by-step explanation:

Answer:

-7 1/3

Step-by-step explanation:

I already learned how to do that

Solve for n.
- 24 -6n= -42

Answers

Answer:

n=3

Step-by-step explanation:

Answer:

n=3

Step-by-step explanation:

-24 -6n = -42

+24 (move to other side)

-42 + 24 = -18

-6n = -18

to move the -6 to the other side you divide

-18 divided by -6 is 3

n=3

In an xy-coordinate system, Line l has a slope of –3. If the points (2, 16) and (5, t) are on Line l, what is the value of t?

Answers

Answer:

25 i think

Step-by-step explanation:

Write P(x) = x3 + x2 − 17x + 15 as a product of two factors, using x − 3 as one factor.

Answers

Answer: (x-3)(x-1)(x+5)

Step-by-step explanation: Factor this polynomial, to do that you use the rational roots theorem.

Answer: (x-1)(x-3)(x+5)

Step-by-step explanation:

Use the rational root theorem

Constant term = 15, Coefficient of leading term = 1

Factors of 15: 1, 3 , 5, 15

Factors of 1: 1

Therefore, (x-1) is a factor

[tex]\begin{array}{l}=\frac{\left(x-1\right)\frac{x^3+x^2-17x+15}{x-1}}{x-3}\\\\=\frac{\left(x-1\right)\left(x^2+2x-15\right)}{\left(x-3\right)}\\\\=\frac{\left(x-1\right)\left(x-3\right)\left(x+5\right)}{x-3}\\\\=\left(x-1\right)\left(x+5\right)\end{array}[/tex]

Cubic equations must have 3 factors to get to the third degree, therefore (x-1)(x-3)(x+5)

What is the common difference for this arithmetic sequence?
45, 40, 35, 30, 25, ...

Answers

Answer:

It would not be a positive 5 but a -5 as your answer.

Step-by-step explanation:

45-5=40 and so forth

kim spends 5.00 for a foot massage. if its costs 0.75 for each sessions how many sessions did kim get

Answers

Answer:

the answer is 6.7

Step-by-step explanation:

you have to divide 5.00 by 0.75 to get the answer

Answer:

C 7

Step-by-step explanation:

You divide 5.00 by 0.75 to get you answer of how many session

5. The table below shows the participation in a school's debate club
during the last four years,
Year
1
2
3
4
Students
14
19
25
33
Between which two years did the club see the greatest growth?
By what percent did it grow? Round to the nearest whole number.
Q3-4
lol

Answers

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

40/50

Solve each of these equations.
3y - 4= 6 - 2y
a.y=5
b.y = -2
c. y = 10
d. y = 2

Help please !!

Answers

Answer:

easy the answer is d)y=2

Step-by-step explanation:

why because

3y−4=6−2y

Add 2y to both sides.

3y−4+2y=−2y+6+2y

5y−4=6

Add 4 to both sides.

5y−4+4=6+4

5y=10

Divide both sides by 5.

5y/5 = 10/5

y=2

THE DOTS SHOWN REPRESENT WHAT KIND OF SEQUENCE?
D is for difference
R is for ratio
Arithmetic is Adding
Geometrical is Multiplying

Answers

The dots are getting bigger so i would say the third or last option.

X-1=2 work out the value of 2x^2

Answers

Answer: 18

Step-by-step explanation:

X-1=2

X=3

2(3)^2

2(9)

18

Value of an algebraic expression depends on the values of its variables usually. The value of [tex]2x^2[/tex] for given condition is obtained to be 18

How to evaluate a given mathematical expression with variables if values of the variables are known?

You can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.

For the given case, we are given that [tex]x - 1 =2[/tex]

By this, we can get the value of the variable 'x' as:

[tex]x - 1 = 2\\\text{Adding 1 on both the sides, we get}\\x = 3[/tex]

Now, putting 3, in place of x, in expression [tex]2x^2[/tex], we get:

[tex]2x^2 = 2 \times (3^2) = 2 \times 9 = 18\\[/tex]

( sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together, thus, [tex]2x^2 = 2 \times x^2[/tex])

Thus, the value of [tex]2x^2[/tex] for given condition is obtained to be 18

Learn more about evaluating expressions here:

https://brainly.com/question/2753269

write the equation of a parellel to the given line that goes through the given point y=8x+3 (2,4)

Answers

Answer:

The equation of a parallel to the given line that goes through the given point (2, 4) is:

[tex]y=8x-12[/tex]

Step-by-step explanation:

Given the equation

[tex]y=8x+3[/tex]

comparing the equation with the slope-intercept form

[tex]y=mx+b[/tex]

Here,

m is the slope y is the intercept

so the slope of the line is m = 8.

We know that the slopes of parallel lines are equal.

so, the slope of the perpendicular line will be = 8

Therefore, the equation of a parallel to the given line that goes through the given point (2, 4) is:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-4 = 8 (x-2)[/tex]

[tex]y-4 = 8x-16[/tex]

[tex]y = 8x-16+4[/tex]

[tex]y=8x-12[/tex]

Which is the solution to this system of equations?
x - 2y= 15
2x + 4y = -18

Answers

The answer to your problem is 3 and -6

use the distribute property to rewrite the following expression (6+15). your final answer should be in the form _(_+_).

what's in the blanks? ​

Answers

Answer:

3(2+5)

Step-by-step explanation:

The common number that both 6 and 15 can be divided by is 3

3x2=6 and 3x5=15

Anyone here good at algebra? if so PLEASE HELP MEH ;-;

Answers

I’ll tell y’all 4 if did

Given f(x)=x^3+kx-4, and x-1 is a factor of f(x), then what is the value of k?

Answers

Answer:

3

Step-by-step explanation:

If x-1 is a factor, then x=1 is a solution. So:

0=1³+1k-4

1k=3

k=3 .........

For the given trinomial that has the factor (x -1), k = 1,

What is Polynomial?

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.

Given a trinomial equation:

f(x)=x^3+kx-4

And also given it has a factor (x - 1)

Thus, at x = 1 the value of the f(x) will be 0

So,

f(x) = x^3 + kx - 4

f(1) = 1^3 + k*1 - 4

0 = 1 + k -4

k = 3

therefore, The value of k = 1 for the given Trinomial that has  the factor (x -1)

Learn more about Polynomials here:

https://brainly.com/question/11536910

#SPJ2

How do you do this ? Need some help ASAP!

Answers

Answer:

On what

Step-by-step explanation:

Robin has a piece of ribbon that is 4.5 meters long. She wants to cut it into pieces that are .05 meters long. How many pieces of ribbon can Robin make?

Answers

Answer: 9 pieces of ribbon

Explanation: 4.5 / 0.5 = 9
Answer : She can make 90 ribbons

Explanation: To solve this, you take 4.5m and divided by 0.05. It would give you 90 :)!

Triangle PQR has angles in the ratio of 2:3:5.
Which type of triangle is APOR?
1) acute
2) isosceles
3) obtuse
4) right
What is the answer???

Answers

Answer:(4) right angle

Step-by-step explanation:

you need to get 180 right solve it from there

The angle is 90degrees, hence the triangle PQR is right triangle

The sum of an interior angle of a triangle is 180 degrees. If the triangle PQR has angles in the ratio of 2:3:5.

Sum of the ratio = 2 + 3 + 5

Sum of the ratios = 10

For the ratio of m<P:

<P = 2/10 * 180

<P = 36 degrees

For the angle m<Q

m<Q = 3/10 * 180

m<Q = 54 degrees

For the angle R;

m<R = 5/10 * 180

m<R = 90 degrees

Since one of the angles is 90degrees, hence the triangle PQR is right triangle

Learn more on angles here: https://brainly.com/question/14362353

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