Question

Obtain two simultaneous equation in two variables from the following information.
$\frac{x + y - 8}{2} = \frac{x + 2y - 14}{3} = \frac{3x - y}{4}$
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Answer 1

Step-by-step explanation:

3(x+y−8)=2(x+2y−14)

3x+y-8

3x+3y−24=2(x+2y−14)

2x+2y-14

3x+3y-24=2x+4y-28

3x+3y−24=2x+4y−28

3x+3y-24-2x=4y-28

3x+3y−24−2x=4y−28

x+3y-24=4y-28

x+3y−24=4y−28

x+3y-24-4y=-28

x+3y−24−4y=−28

3y-4y-y

x-y-24=-28

x−y−24=−28

x-y=-28+24

x−y=−28+24

-2824-4

x-y=-4

x−y=−4

123,4

4(x+2y−14)=3(3x−y)

4x+2y-14

4x+8y−56=3(3x−y)

4x+8y-56=9x-3y

4x+8y−56=9x−3y

4x+8y-56-9x=-3y

4x+8y−56−9x=−3y

-5x+8y-56=-3y

−5x+8y−56=−3y

-5x+8y-56+3y=0

−5x+8y−56+3y=0

8y3y11y

-5x+11y-56=0

−5x+11y−56=0

-5x+11y=56

−5x+11y=56

x-y=-4,-5x+11y=56

x−y=−4,−5x+11y=56