Question

Which equation shows one way to solve the system of equations by substitution?

y = x + 2
5x - y = 10

a) y = x + 2, 5x - y = 10
b) x = y + 2, 5y - x = 10
c) x = y + 2, 5x - y = 10
d) y = x + 2, 5x - (x + 2) = 10

Answer 1

The equation x = y + 2, 5x - y = 10 shows one way to solve the system of equations by substitution.

Step-by-step explanation:

The correct equation that shows one way to solve the system of equations by substitution is x = y + 2, 5x - y = 10 or option c.

To solve the system of equations by substitution, we first solve one equation for one variable in terms of the other variable, and then substitute this expression into the other equation. From the given equations, we can solve the first equation for x and rewrite it as x = y + 2.

We can then substitute this expression for x into the second equation, resulting in 5(y + 2) - y = 10.

Solving this equation will give us the value of y, and substituting it back into the equation x = y + 2 will give us the value of x.