Answer
$x=2$
$y=1$
Work Step by Step
Equations:
$3x+4y=10$
$2x+3y=7$
Multiply $2$ to the first and $-3$ to the second equation equations to have the equivalent system ofequations:
$2(3x+4y)=2(10)$
$-3(2x+3y)=-3(7)$
$6x+8y=20$
$-6x -9y=-21$
Eliminate $x$ by adding the equations together, then solve for $y$:
$6x+8y=20$
$+$
$-6x -9y=-21$
$-y=-1$
$y=1$
Substitute $1$ to to the $y$ of the second original equation to solve for $x$:
$2x+3(1)=7$
$2x + 3 = 7$
$2x = 4$
$x = 2$
