Question

Solve the system by substitution.

Answer 1

Answer:

x = 1

y = 1

Step-by-step explanation:

$y=-3x+4\\ y=x$

Substitute into one of the equations

$-3x+4=x$

Rearrange variables to the left sider of the equation

$-3x-x=-4$

Combine like terms

$-4x=-4$

Divide both sides of the equation by the coefficient of variable

$x=\frac{-4}{-4}$

Determine the sign for multiplication or division

$x=\frac{4}{4}$

Cross out the common factor

$x=1$

Substitute into one of the equations

$y=1$

The solution of the system is

$\left \{ {{x=1} \atop {y=1}} \right.$

I hope this helps you

:)