Question

elimination with multiplication
question 10 of 10 (1 point) | question attempt:
solve the following system of equations.
2x + 7y = -3
7x - 5y = 19
x =
y =

Explanation:

Step1: Multiply equations to eliminate x

Multiply the first equation \(2x + 7y=-3\) by 7: \(14x + 49y=-21\).
Multiply the second equation \(7x - 5y = 19\) by 2: \(14x-10y = 38\).

Step2: Subtract equations to solve for y

Subtract the second new equation from the first:
\((14x + 49y)-(14x - 10y)=-21 - 38\)
Simplify: \(59y=-59\), so \(y = - 1\).

Step3: Substitute y into an equation to solve for x

Substitute \(y=-1\) into \(2x + 7y=-3\):
\(2x+7(-1)=-3\)
\(2x-7=-3\)
\(2x = 4\), so \(x = 2\).

Answer:

\(x = 2\), \(y=-1\)