Cem Hayes

2021-08-17

Find x and y, if

2x-3y=-4 and x+y=4

2x-3y=-4 and x+y=4

unessodopunsep

Skilled2021-08-18Added 105 answers

Let 2x-3y=-4 be (a) and x+y=4 be (b). Multiply (b) by 3:

3x+3y=12 (c)

Add each side of (a) and (c) and solve for x:

5x=8

$x=\frac{8}{5}$

Substitute$x=\frac{8}{5}$ to (b) and solve for y:

$\frac{8}{5}+y=4$

$y=4-\frac{8}{5}$

$y=\frac{20}{5}-\frac{8}{5}$

$y=\frac{12}{5}$

The answer:

$x=\frac{8}{5}.y=\frac{12}{5}.$

3x+3y=12 (c)

Add each side of (a) and (c) and solve for x:

5x=8

Substitute

The answer:

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