What is the solution of the system? (1 point) Responses Image with alt text: left parenthesis negative 5 over 2 comma negative 29 over 2 right parenthesis Image with alt text: left parenthesis 5 over 2 comma 41 over 2 right parenthesis Image with alt text: left parenthesis 2 over 5 comma 29 over 5 right parenthesis.

y=9x-2
y=7x+3

1 answer

To find the solution to the system of equations, we can set the two expressions for y equal to each other:

9x - 2 = 7x + 3

Simplifying, we get:

2x = 5

Dividing both sides by 2:

x = 5/2

Substituting this value back into either equation, we can solve for y. Let's use the first equation:

y = 9(5/2) - 2
= 45/2 - 2
= 45/2 - 4/2
= 41/2

Therefore, the solution to the system of equations is (5/2, 41/2).