Start by finding the value of x. Solve on paper, then enter your answer on Zearn.

Question

y= 2x−4
x= −2y+22
x =

y = ?

Answer 1

To solve the system of equations:

1. \( y = 2x - 4 \) (Equation 1)
2. \( x = -2y + 22 \) (Equation 2)

We can substitute the expression for \( y \) from Equation 1 into Equation 2.

First, let's relay Equation 1 in terms of \( y \): \[ y = 2x - 4 \]

Now, substitute \( y \) into Equation 2: \[ x = -2(2x - 4) + 22 \]

Now, simplify the right-hand side: \[ x = -4x + 8 + 22 \] \[ x = -4x + 30 \]

Next, add \( 4x \) to both sides: \[ x + 4x = 30 \] \[ 5x = 30 \]

Now, divide both sides by 5: \[ x = \frac{30}{5} = 6 \]

Now that we have the value of \( x \), we can find the value of \( y \) using Equation 1: \[ y = 2(6) - 4 \] \[ y = 12 - 4 = 8 \]

So the solutions are: \[ x = 6 \] \[ y = 8 \]

Therefore, the values are:

• \( x = 6 \)
• \( y = 8 \)