Question

Solve the System of Equations using the substitution method.
-5x-3y=16
y=x

Answer 1

According to the second equation, “x” is equal to “y.” With this knowledge, we can substitute the value “x” into the first equation:

-5x – 3y = 16
-5x – 3(x) = 16

Combine like terms:

-8x = 16

Divide (-8) from both sides of the equation:

x = -2

We have proven that “x” is equal to (-2). Using this knowledge, we can now substitute the known value of “x” into the second equation:

y = x
y = (-2)

We have now proven the values of both X and Y:

x = -2
y = -2

I hope this helps!