Question

Solve the system of equations by substitution

$\left\{\begin{array}{l}y=\frac{7}{8}x+4\\ -7x+8y=6\end{array}\right.$

Short answer

The system of equations has no solution.

Step-by-step solution

Step 1. Given the information

The system of equations is,

$\left\{\begin{array}{l}y=\frac{7}{8}x+4\\ -7x+8y=6\end{array}\right.$

Step 2. Substituting the value y in the equation.

Substituting $y=\frac{7}{8}x+4$in the equation

$-7x+8y=6$

$-7x+8(\frac{7}{8}x+4)=6$

$-7x+7x+32=6$

$-7x+7x=6-32$

$0=-26$

The system of equations has no solution.