Question

solve the system using substitution
{4x-3y=-25}
{5x+y=2}

Answer 1

We will solve the system of equations using substitution.

We can solve the second equation for y:

5x + y = 2
y = 2 - 5x

Now we substitute the value of y in the first equation:

4x - 3(2 - 5x) = -25
4x - 6 + 15x = -25
19x - 6 = -25
19x = -19
x = -1

Now that we have found x, we substitute it back into the second equation to find y:

5(-1) + y = 2
-5 + y = 2
y = 7

Therefore, the solution to the system of equations is x = -1 and y = 7.