Question

solve the system of equations using elimination: $-4x + 7y = 20$ and $-4x + 3y = -12$.
answer attempt 1 out of 2
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Explanation:

Step1: Subtract the second equation

$$(-4x + 7y) - (-4x + 3y) = 20 - (-12)$$

Step2: Simplify to solve for $y$

$$4y = 32 \implies y = \frac{32}{4} = 8$$

Step3: Substitute $y=8$ into second equation

$$-4x + 3(8) = -12$$

Step4: Simplify to solve for $x$

$$-4x + 24 = -12 \implies -4x = -36 \implies x = \frac{-36}{-4} = 9$$

Answer:

$(9, 8)$