Question

2x-y=60
6y=x
Solve the system using substitution. Check your solution.

Answer 1

Answer:

$x = \frac{360}{11}$

$y = \frac{60}{11}$

Step-by-step explanation:

Since 6y=x plug 6y in for x on the top equation.

$2(6y) - y = 60$

$12y - y = 60$

$11y = 60$

$y = \frac{60}{11}$

Plug y=60/11 into 6y=x

$6( \frac{60}{11} ) = x$

$\frac{360}{11} = x$

Plug 360/11 into 2x-y=60

$2( \frac{360}{11} ) - \frac{60}{11} = 60$

$\frac{720}{11} - \frac{60}{11} = 60$

$\frac{660}{11} = 60$

The identity is true