Find the solution to the system of equations below. Solve on paper and enter your answer on Zearn.

Question

y=2x+1
x=17−2y

(
,
)

Answer 1

To solve the system of equations:

1. \( y = 2x + 1 \)
2. \( x = 17 - 2y \)

We can substitute the expression for \( y \) from the first equation into the second equation.

Starting with the first equation: \[ y = 2x + 1 \]

Now substitute \( y \) into the second equation: \[ x = 17 - 2(2x + 1) \]

This simplifies to: \[ x = 17 - 4x - 2 \] \[ x = 15 - 4x \]

Now, add \( 4x \) to both sides: \[ x + 4x = 15 \] \[ 5x = 15 \]

Now divide both sides by 5: \[ x = 3 \]

Now that we have \( x \), we can substitute it back into the first equation to find \( y \): \[ y = 2(3) + 1 \] \[ y = 6 + 1 \] \[ y = 7 \]

So the solution to the system of equations is: \[ (x, y) = (3, 7) \]

The final answer is: \[ (3, 7) \]