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Popular >

4x-3y=7,7x+y=-19

Solution

4 x - 3 y = 7, 7 x + y = - 19

Solution

x = - 2, y = - 5

Solution steps

[4 x - 3 y = 7 7 x + y = - 19]

Isolate

x

for

4 x - 3 y = 7 : x = \frac{7 + 3 y}{4}

Substitute

x = \frac{7 + 3 y}{4}

[7 \cdot \frac{7 + 3 y}{4} + y = - 19]

Simplify

[\frac{49 + 25 y}{4} = - 19]

Isolate

y

for

\frac{49 + 25 y}{4} = - 19 : y = - 5

For

x = \frac{7 + 3 y}{4}

Substitute

y = - 5

x = \frac{7 + 3 ( - 5 )}{4}

\frac{7 + 3 ( - 5 )}{4} = - 2

x = - 2

The solutions to the system of equations are:

x = - 2, y = - 5

Popular Examples

x + y = 100, x - y = 12

8x-3y=1,3x+2y=16

8 x - 3 y = 1, 3 x + 2 y = 16

2(x+1)+3(y+1)=15,3(x+1)-2(y+1)=3

2 (x + 1) + 3 (y + 1) = 15, 3 (x + 1) - 2 (y + 1) = 3

5x+3y-11z=13,4x-5y+4z=18,9x-2y-7z=25

5 x + 3 y - 11 z = 13, 4 x - 5 y + 4 z = 18, 9 x - 2 y - 7 z = 25

2x+3y=9,6x+9y=18

2 x + 3 y = 9, 6 x + 9 y = 18

Frequently Asked Questions (FAQ)

What is 4x-3y=7,7x+y=-19 ?
The solution to 4x-3y=7,7x+y=-19 is x=-2,y=-5