Question

solve the system of equations.
y = 7x
y = 3x + 20
x =

y =

Explanation:

Step1: Set the two equations equal

Since $y = 7x$ and $y=3x + 20$, we set $7x=3x + 20$.

Step2: Solve for x

Subtract $3x$ from both sides: $7x-3x=3x + 20-3x$, which simplifies to $4x=20$. Then divide both sides by 4: $x=\frac{20}{4}=5$.

Step3: Solve for y

Substitute $x = 5$ into $y = 7x$, so $y=7\times5 = 35$.

Answer:

$x = 5$
$y = 35$