Question

2. A system of equations is shown below.

{3x + 5y = -9
{2x + y = -34

a. Find the solution to the system of equations using either substitution or the linear combination method. Show all your work.
2. A system of equations is shown below.

a. Find the solution to the system of equations using either substitution or the linear combination method. Show all your work.
b. Explain and show the graphical meaning of the solution. Be sure to label the solution on your graph.

Answer 1

3x + 5y = -9
2x + y = -34

2x + y = -34
y = -2x - 34

3x + 5y = -9
3x + 5(-2x - 34) = -9
3x - 10x - 170 = -9
-7x = -9 + 170
-7x = 161
-7x/-7 = 161/-7
x = - 23

y = -2x - 34
y = -2(23) - 34
y = 46 - 34
y = 12

to check: x = -23 ; y = 12
3x + 5y = -9
3(-23) + 5(12) = -9
-69 + 60 = -9
-9 = -9

2x + y = -34
2(-23) + 12 = -34
-46 + 12 = -34
-34 = -34