Question

What's the solution of the system on equations?

3x - y =7
2x = y =8

Answer 1

There seems to be an error in the second equation.

If we correct the second equation to be 2x + y = 8, then the system of equations would be:

1) 3x - y = 7
2) 2x + y = 8

To solve this system, we can use the method of substitution or elimination.

Using substitution:
From equation 2, we can solve for y in terms of x:
2x + y = 8
y = 8 - 2x

Substituting this value of y in equation 1:
3x - (8 - 2x) = 7
3x - 8 + 2x = 7
5x - 8 = 7
5x = 7 + 8
5x = 15
x = 3

Substituting this value of x back into equation 2 to solve for y:
2(3) + y = 8
6 + y = 8
y = 8 - 6
y = 2

Therefore, the solution to the system of equations is x = 3 and y = 2.