Question

Explain how you would solve the following system of equations using substitution. math step in your explanation, too!! This is the system that you should use: y= 4x -5 y = 3x -3

Answer 1

Answer:

$x=2\\y=3$

Step-by-step explanation:

Solve by substitution method

$y=4x-5\\y=3x-3$

First, solve $y=4x-5$ for $y$:

Substitute $4x-5$ for $y$ in $y=3x-3$

$y=3x-3$

$4x-5=3x-3$

$4x-3x=5-3$

$x=2$

Now that we have the value of x

substitute $2$ for $x$ in $y=4x-5$

$y=4x-5$

$y=4(2)-5$

$y=8-5$

$y=3$

∴ The value of $x$ is $2$ and the value of $y$ is $3$