Question

Use substitution to find the solution to the system of equations.

5x+7y=-29
y=x+1

A. (-3,-2)
B. (-2,-3)
C. (-2.5,-1.5)
D. (3,4)

Answer 1

Ummm, so the answer is A. (-3,-2)

StepByStep Solution:

5x + 7(x+1) =-29

5x+7x+7=-29

12x=-36

x=-3

y=-3+1

y=-2

Answer 2

A. (-3,-2)

Explanation:

In substitution method for solving a system of equation we find the value of a variable from one equation and put it into the other equation.

Here, the given system of equation,

5x+7y=-29 ----(1)

y=x+1 -----(2),

Substitute the value of y from equation (2) to equation (1),

5x + 7(x+1) = -29

5x + 7x + 7 = -29

12x + 7 = -29

12x = -36

x = -3

From equation (2),

y = -3 + 1 = -2

Hence, the solution of the given system is ( -3, -2 )

Option A is correct.