Question

Solve the system of equations –2 + y = 14 and -5x – 7y = 10 by
combining the equations.

Answer 1

`(x,y)=(-(122)/(5), 16)`

Explanation:

Substitute the value of y

`\left\{{{y=16} \atop {-5x-7y=10}}\right.`

Solve the equation

`-5x-7*16=10`

A possible solution is

`x=-(122)/(5)`

Check the solution

`(x, y) = (-(122)/(5), 16)\\`

Simplify

`\left \{ {{-2+16=14} \atop {-5*(-(122)/(5))-7*16=10}} \right.`

The ordered pair is a solution

`\left \{ {{14=14} \atop {10=10}} \right.`

Answer 2

x=−17/5 ,y=16 So y=16