How do you solve the simultaneous equations $5x+7y=32$ and $10x-y=49$ ?

Question

1788 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-07-17T09:10:10

$x=5,y=1$

Step 1: Make $x$ the subject of one of the equations:
$10x-y=49$ => $y=10x-49$

Step 2: Substitute this into the other equation and solve for $x$ :
$5x+7y=5x+70x-343=32$ => $x=5$

Step 3: Use this value in one of the equations and solve for $y$ :
$10x-y=50-y=49$ => $y=1$

How do you solve the simultaneous equations 5x+7y=325x+7y=32 and 10x-y=4910x-y=49?