Carolyn was asked to solve the following system of equations. Her work is shown. Correctly find the solution to the system of inequalities. Show your work for credit.

Question

asked Mar 1, 2021 180k views

1 Answer

Daniel Dreibrodt · Answer 1 · 2021-03-08T00:29:53+0000

Answer:

(11, 13)

Explanation:

Given,

3x - 2y = 7 => (eqn. 1)

y = x + 2 => (eqn. 2)

Substitute y = (x + 2) in eqn. 1.

3x - 2(x + 2) = 7

Use -2 to multiply each term you have in the parentheses. (This is where Carolyn got it wrong)

3x - 2x - 4 = 7 (-2*4 = -4 not +4)

x - 4 = 7

Add 4 to both sides

x = 7 + 4

x = 11

Substitute x = 11 in eqn. 2.

y = x + 2

y = 11 + 2

y = 13

Solution: (11, 13)