Question

question
solve the system of equations using elimination: $4x + 5y = 6$ and $7x + 9y = 12$.

answer attempt 1 out of 5
(\square, \square) submit answer

Explanation:

Step1: Multiply equations to eliminate x

Multiply the first equation \(4x + 5y = 6\) by 7: \(28x + 35y = 42\).
Multiply the second equation \(7x + 9y = 12\) by 4: \(28x + 36y = 48\).

Step2: Subtract equations to find y

Subtract the first new equation from the second:
\((28x + 36y) - (28x + 35y) = 48 - 42\)
\(y = 6\).

Step3: Substitute y into original equation

Substitute \(y = 6\) into \(4x + 5y = 6\):
\(4x + 5(6) = 6\)
\(4x + 30 = 6\)
\(4x = 6 - 30 = -24\)
\(x = \frac{-24}{4} = -6\).

Answer:

\((-6, 6)\)