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What is the solution to this system of equations?

4x-3y=26
3x+2y=11


A:(5,-2)
B:(-2,5)
C:(5,2)
D(8,2)

User Chelofm
by
7.3k points

1 Answer

3 votes

Answer:

Option A: (5,-2)

Explanation:

4x - 3y = 26

3x + 2y = 11

from equ 1 make x the subject formular | equ means equation

4x - 3y = 26

4x = 26 + 3y

x = (26 + 3y)/4

Substitute x = (26 + 3y)/4 into equ 2

3((13+3y)/4) + y = 11

(39+17y)/4 + y = 11

39/4 + 17y/4 + y = 11

39/4 + 17y/4 = 11

17y/4 = 11 - 39/4

17y/4 = -17/2

17/4y/17/4 = -17/2/17/4

y = -2

Substitute y = -2 into equ 2

3x + 2y = 11

3x + 2(-2) = 11

3x - 4 = 11

3x = 11 + 4

3x = 15

3x/3 = 15/3

x = 5

(x,y) = (5,-2)

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User Costa Walcott
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