Question

Solve the system by substitution. y, equals, minus, x y= −x y, equals, minus, 5, x, plus, 40 y= −5x 40

Answer 1

To solve the system of equations by substitution, substitute the value of one variable into the other equation.

Step-by-step explanation:

To solve the system of equations by substitution, we need to find the value of one variable in terms of the other and substitute it into the other equation. Let's solve the system of equations:

1. Start with the equation y = -x.

2. Substitute this equation into the second equation y = -5x + 40:

-x = -5x + 40

3. Solve for x:

4x = 40

x = 10

4. Substitute the value of x back into the first equation:

y = -10

Therefore, the solution to the system of equations is x = 10 and y = -10.