Question

Solve the system by substitution. -Y = x -7x – 5y = –20

Answer 1

Answer:

$x=10\\y=-10$

$(10,-10)$

Step-by-step explanation:

$-y=x$

$-7x-5y=-20$

Substitute $-y$ for $x$ in the second equation:

$-7(-y)-5y=-20$

Multiply:

$7y-5y=-20$

Combine like terms:

$2y=-20$

Divide both sides of the equation by the coefficient of $y$, which is $2$:

$y=-10$

Now, substitute $-10$ for $y$ in the first equation:

$-(-10)=x$

Multiply:

$x=10$