What is x-y=7,2y+3x=12 ?

The solution to x-y=7,2y+3x=12 is x= 26/5 ,y=-9/5

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x-y=7,2y+3x=12

x - y = 7, 2 y + 3 x = 12

x = \frac{26}{5}, y = - \frac{9}{5}

Solution steps

[x - y = 7 2 y + 3 x = 12]

Isolate

x

for

x - y = 7 : x = 7 + y

Substitute

x = 7 + y

[2 y + 3 (7 + y) = 12]

Simplify

[5 y + 21 = 12]

Isolate

y

for

5 y + 21 = 12 : y = - \frac{9}{5}

For

x = 7 + y

Substitute

y = - \frac{9}{5}

x = 7 - \frac{9}{5}

7 - \frac{9}{5} = \frac{26}{5}

x = \frac{26}{5}

The solutions to the system of equations are:

x = \frac{26}{5}, y = - \frac{9}{5}

2 p + 3 q - 4 = 3, p - 2 q - 19 = 0

x - 4 y = 2, 3 x + y = 1

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

2 x - 5 y = - 7, 3 x = 18 - 2 y

2 x + 3 y = 8, 5 x - 6 y = 10