Question

elimination with addition and subtraction
question 8 of 15 (1 point) | question attempt: 1 of 3

solve the following system of equations.
3x - 8y = 3
-3x + 13y = -18

x =

y =

Explanation:

Step1: Eliminate x by adding equations

Add the two equations \(3x - 8y = 3\) and \(-3x + 13y = -18\) together.
\((3x - 8y) + (-3x + 13y) = 3 + (-18)\)
Simplify: \(3x - 3x - 8y + 13y = -15\) → \(5y = -15\)

Step2: Solve for y

Divide both sides by 5: \(y = \frac{-15}{5} = -3\)

Step3: Substitute y into first equation

Substitute \(y = -3\) into \(3x - 8y = 3\):
\(3x - 8(-3) = 3\) → \(3x + 24 = 3\)

Step4: Solve for x

Subtract 24 from both sides: \(3x = 3 - 24 = -21\)
Divide by 3: \(x = \frac{-21}{3} = -7\)

Answer:

\(x = -7\), \(y = -3\)