Question

solve using elimination.
-5x + 4y = -17
-7x + 8y = -19
(\boxed{ }, \boxed{ })

Explanation:

Step1: Eliminate \( y \) by multiplying the first equation

Multiply the first equation \(-5x + 4y = -17\) by \( 2 \) to get \( -10x + 8y = -34 \).

Step2: Subtract the second equation from the new equation

Subtract \(-7x + 8y = -19\) from \(-10x + 8y = -34\):

$$
LATEXBLOCK0
$$

Step3: Solve for \( x \)

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

Step4: Substitute \( x = 5 \) into the first equation

Substitute \( x = 5 \) into \(-5x + 4y = -17\):

$$
LATEXBLOCK1
$$

Answer:

\((5, 2)\)