Question

2x+2y=50
Y=4x
Solve by substitution

Answer 1

To solve the system of equations using substitution, we have the equations:

1. \( 2x + 2y = 50 \)
2. \( y = 4x \)

First, we can substitute the expression for \( y \) from the second equation into the first equation.

Substituting \( y = 4x \) into the first equation:

\[
2x + 2(4x) = 50
\]

This simplifies to:

\[
2x + 8x = 50
\]

Combining like terms gives us:

\[
10x = 50
\]

Now, we solve for \( x \):

\[
x = \frac{50}{10} = 5
\]

Next, we substitute \( x = 5 \) back into the equation \( y = 4x \) to find \( y \):

\[
y = 4(5) = 20
\]

So, the solution to the system of equations is:

\[
(x, y) = (5, 20)
\]