Question

Describe how you would obtain an equation in one variable to solve the system by substitution. x - y = -3; 4x - 3y = -5.

a. Solve for x in the first equation and substitute into the second
b. Solve for y in the first equation and substitute into the second
c. Combine the two equations into one for substitution
d. Set both equations equal to each other and solve for x

Answer 1

To solve the system by substitution, solve for y in the first equation and substitute it into the second equation.

Step-by-step explanation:

To solve the system by substitution, you need to obtain an equation in one variable. Here's how:

1. Solve for y in the first equation to get y = x + 3.
2. Substitute this value of y into the second equation, replacing y with x + 3.
3. Simplify the equation and solve for x.
4. Once you have the value of x, substitute it back into the first equation to solve for y.