QuestionMarch 21, 2026

Solve the system of equations and choose the correct ordered pair. 3x-4y=26 2x+8y=-36 A. (2,-5) B. (2,5) C. (6,-2) D. (6,2)

Solve the system of equations and choose the correct ordered pair. 3x-4y=26 2x+8y=-36 A. (2,-5) B. (2,5) C. (6,-2) D. (6,2)
Solve the system of equations and choose the correct
ordered pair.
3x-4y=26
2x+8y=-36
A. (2,-5)
B. (2,5)
C. (6,-2)
D. (6,2)

Solution
4.2(334 votes)

Answer

(2,-5) Explanation 1. Align coefficients to eliminate a variable Multiply the first equation by 2: 6x - 8y = 52 Second equation: 2x + 8y = -36 2. Add equations to solve for x 6x - 8y + 2x + 8y = 52 + (-36) 8x = 16 \Rightarrow x = 2 3. Solve for y Substitute x=2 into 2x+8y=-36: 4 + 8y = -36 \Rightarrow 8y = -40 \Rightarrow y = -5

Explanation

1. Align coefficients to eliminate a variable <br /> Multiply the first equation by 2: $6x - 8y = 52$ <br /> Second equation: $2x + 8y = -36$ <br /><br />2. Add equations to solve for $x$ <br /> $6x - 8y + 2x + 8y = 52 + (-36)$ <br /> $8x = 16 \Rightarrow x = 2$ <br /><br />3. Solve for $y$ <br /> Substitute $x=2$ into $2x+8y=-36$: <br /> $4 + 8y = -36 \Rightarrow 8y = -40 \Rightarrow y = -5$
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