Question

Given the equation 5x + 20 = 4y, there is one value for which x is equal to y. What value is it?

Answer 1

Answer: $\Large\boxed{-20}$

Step-by-step explanation:

Given information

5x + 20 = 4y

One value for which x is equal to y

Given the system of equations

$1)~5x+20=4y$

$2)~x=y$

Substitute the 2) equation into the x value of the 1) equation

$5(y)+20=4y$

Subtract 20 on both sides

$5y+20-20=4y-20$

$5y=4y-20$

Subtract 4y on both sides

$5y-4y=4y-20-4y$

$\Large\boxed{y=-20}$

Since the value for x is equal to y, $\Large\boxed{x=-20}$

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