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

Jul 17, 2015

$x = 5 , y = 1$

#### Explanation:

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

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

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