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Popular >

7x+4y=13,5x-2y=19

Solution

7 x + 4 y = 13, 5 x - 2 y = 19

Solution

x = 3, y = - 2

Solution steps

[7 x + 4 y = 13 5 x - 2 y = 19]

Isolate

x

for

7 x + 4 y = 13 : x = \frac{13 - 4 y}{7}

Substitute

x = \frac{13 - 4 y}{7}

[5 \cdot \frac{13 - 4 y}{7} - 2 y = 19]

Simplify

[\frac{65 - 34 y}{7} = 19]

Isolate

y

for

\frac{65 - 34 y}{7} = 19 : y = - 2

For

x = \frac{13 - 4 y}{7}

Substitute

y = - 2

x = \frac{13 - 4 ( - 2 )}{7}

\frac{13 - 4 ( - 2 )}{7} = 3

x = 3

The solutions to the system of equations are:

x = 3, y = - 2

Popular Examples

x + y = 4, x + 2 y = 6

4 x - 2 y = 8, 3 x + y = 2

y^{2} = 4 x, x = 0

4x+2y=-60,-2x-6y=12

4 x + 2 y = - 60, - 2 x - 6 y = 12

-7x-y=14,2y+3x=10

- 7 x - y = 14, 2 y + 3 x = 10

Frequently Asked Questions (FAQ)

What is 7x+4y=13,5x-2y=19 ?
The solution to 7x+4y=13,5x-2y=19 is x=3,y=-2