Question What is the solution of the system? y = 9x -2 y=7x + 3(1 point)

1 answer

To find the solution, we can set the two equations equal to each other since they both equal y.

9x - 2 = 7x + 3

Next, we can subtract 7x from both sides to isolate the x term.

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

2x - 2 = 3

We can then add 2 to both sides to isolate the x term.

2x - 2 + 2 = 3 + 2

2x = 5

Finally, we can divide both sides by 2 to solve for x.

x = 5/2 or x = 2.5

To find the corresponding y-value, we can substitute the value of x into one of the original equations (either equation will give us the same result).

Using y = 9x - 2:

y = 9(2.5) - 2

y = 22.5 - 2

y = 20.5

Therefore, the solution to the system of equations is x = 2.5 and y = 20.5.