Question

Use substitution for the equation 2y+x=-4 and y-x=-5

Answer 1

To solve the system of equations using substitution, solve one equation for one variable and substitute the expression into the other equation. Then solve for the remaining variable.

Step-by-step explanation:

To solve the system of equations using substitution, we start by solving one equation for one variable in terms of the other variable. Let's solve the second equation for y:

y - x = -5

y = x - 5

Now we substitute this expression for y into the first equation:

2y + x = -4

2(x - 5) + x = -4

2x - 10 + x = -4

3x - 10 = -4

3x = 6

x = 2

Now we substitute this value of x back into the second equation to find y:

y = 2 - 5

y = -3

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