Question

CORRECT ANSWER AND I WILL THANK, GIVE 5 STARS, AND GIVE BRAINLIEST!!!!
System Of equations:
Solve by elimination:

7x + 2y = 13

x - 2y = 11

Group of answer choices

(3 . -4)

(3 , 4)

(4 , 3)

(-4 , -3)

Answer 1

Explanation

• Eliminate y-term by adding both equations.

$(7x + 2y) + (x - 2y) = 13 + 11 \\ 8x = 24 \\ x = \frac{24}{8} \\ x = 3$

• Substitute x = 3 in any given equations.

$x - 2y = 11 \\ 3 - 2y = 11 \\ 3 - 11 = 2y \\ - 8 = 2y \\ \frac{ - 8}{2} = y \\ - 4 = y$

Answer Check

• Substitute x = 3 and y = - 4 in both equations.

$7x + 2y = 13 \\ 7(3) + 2( - 4) = 13 \\ 21 - 8 = 13 \\ 13 = 13$

$x - 2y = 11 \\ 3 - 2( - 4) = 11 \\ 3 + 8 = 11 \\ 11 = 11$

Both equations are true for x = 3 and y = 4.

Answer

$\large \boxed {(3, - 4)}$

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