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Popular >

7x-4y=5,9x+8y=13

Solution

7 x - 4 y = 5, 9 x + 8 y = 13

Solution

x = 1, y = \frac{1}{2}

Solution steps

[7 x - 4 y = 5 9 x + 8 y = 13]

Isolate

x

for

7 x - 4 y = 5 : x = \frac{5 + 4 y}{7}

Substitute

x = \frac{5 + 4 y}{7}

[9 \cdot \frac{5 + 4 y}{7} + 8 y = 13]

Simplify

[\frac{45 + 92 y}{7} = 13]

Isolate

y

for

\frac{45 + 92 y}{7} = 13 : y = \frac{1}{2}

For

x = \frac{5 + 4 y}{7}

Substitute

y = \frac{1}{2}

x = \frac{5 + 4 \cdot \frac{1}{2}}{7}

\frac{5 + 4 \cdot \frac{1}{2}}{7} = 1

x = 1

The solutions to the system of equations are:

x = 1, y = \frac{1}{2}

Popular Examples

3x+2y=-12,2x-3y=5

3 x + 2 y = - 12, 2 x - 3 y = 5

3x+y=1,-4x-3y=7

3 x + y = 1, - 4 x - 3 y = 7

8x+3y=30,5x+3y=21

8 x + 3 y = 30, 5 x + 3 y = 21

8x+7y=10,11x=10-10y

8 x + 7 y = 10, 11 x = 10 - 10 y

2 x + 3 y = 12, x - y = 1

Frequently Asked Questions (FAQ)

What is 7x-4y=5,9x+8y=13 ?
The solution to 7x-4y=5,9x+8y=13 is x=1,y= 1/2