Question

Solve the system by substitution.
y = 6x
7x − 8y = −41

Answer 1

To solve the system of equations by substitution, isolate one variable in one equation, substitute the expression for the isolated variable in the other equation, solve the resulting equation, and substitute the value back into the original equations.

Step-by-step explanation:

To solve the system of equations by substitution:

1. Isolate one variable in one equation.
2. Substitute the expression for the isolated variable in the other equation.
3. Solve the resulting equation for the remaining variable.
4. Substitute the value of the remaining variable back into one of the original equations to find the value of the other variable.

In this case:

• From the first equation, isolate y: y = 6x + 8
• Substitute this expression for y in the second equation: 7x - 8(6x + 8) = -41
• Solve the resulting equation for x: 7x - 48x - 64 = -41
• Substitute the value of x back into the first equation to find y.