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Popular >

4x-y=30,6x+y=35

Solution

4 x - y = 30, 6 x + y = 35

Solution

x = \frac{13}{2}, y = - 4

Solution steps

[4 x - y = 30 6 x + y = 35]

Isolate

x

for

4 x - y = 30 : x = \frac{30 + y}{4}

Substitute

x = \frac{30 + y}{4}

[6 \cdot \frac{30 + y}{4} + y = 35]

Simplify

[\frac{5 y + 90}{2} = 35]

Isolate

y

for

\frac{5 y + 90}{2} = 35 : y = - 4

For

x = \frac{30 + y}{4}

Substitute

y = - 4

x = \frac{30 - 4}{4}

\frac{30 - 4}{4} = \frac{13}{2}

x = \frac{13}{2}

The solutions to the system of equations are:

x = \frac{13}{2}, y = - 4

Popular Examples

x+y+2z=1,2x+2y+3z=2

x + y + 2 z = 1, 2 x + 2 y + 3 z = 2

5x-3y=60,-4x+9y=17

5 x - 3 y = 60, - 4 x + 9 y = 17

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

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

x+5y=9,2x+3y=11

x + 5 y = 9, 2 x + 3 y = 11

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

Frequently Asked Questions (FAQ)

What is 4x-y=30,6x+y=35 ?
The solution to 4x-y=30,6x+y=35 is x= 13/2 ,y=-4