Question

Question 5 of 5

Find the solution to the following system by substitution.
x + y = 20
y = 3x + 8
A. (7,29)
B. (3, 17)
C. (4,20)
D. (17, 3)

PLEASE HELP ME QUICK! :(

Answer 1

B. (3, 17)

Explanation:

You want to solve this system of equations by substitution:

• x + y = 20
• y = 3x +8

Substitution

We are given an expression for y. Substituting that into the first equation gives ...

x + (3x +8) = 20

4x = 12 . . . . . subtract 8

x = 3 . . . . . . divide by 4

y = 3(3) +8 = 17

The solution is (x, y) = (3, 17).

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