Question

use the substitution method to solve the system of equations

3x+2y=13

y=x-1

Answer 1

Answer:

$x=3\\y=2$

Step-by-step explanation:

$3x+2y=13\\y=x-1$

Solve for $y=x-1$ for y:

$y=x-1$

Substitute $x-1$ for y in $3x+2y=13$:

$3x+2y=13$

$3x+2(x-1)=13$

$5x-2=13$

$5x=13+2$

$5x=15$

$x=15/5$

$x=3$

Substitute 3 for x in $y=x-1$:

$y=x-1$

$y=(3)-1$

$y=2$

$x=3$ and $y=2$

hope this helps...