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Popular >

2x+3y=7,5x-y=9

Solution

2 x + 3 y = 7, 5 x - y = 9

Solution

x = 2, y = 1

Solution steps

[2 x + 3 y = 7 5 x - y = 9]

Isolate

x

for

2 x + 3 y = 7 : x = \frac{7 - 3 y}{2}

Substitute

x = \frac{7 - 3 y}{2}

[5 \cdot \frac{7 - 3 y}{2} - y = 9]

Simplify

[\frac{35 - 17 y}{2} = 9]

Isolate

y

for

\frac{35 - 17 y}{2} = 9 : y = 1

For

x = \frac{7 - 3 y}{2}

Substitute

y = 1

x = \frac{7 - 3 \cdot 1}{2}

\frac{7 - 3 \cdot 1}{2} = 2

x = 2

The solutions to the system of equations are:

x = 2, y = 1

Popular Examples

15x+3y=15,12x+4y=20

15 x + 3 y = 15, 12 x + 4 y = 20

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

3x+y=12,x+5y=32

3 x + y = 12, x + 5 y = 32

12(x-6)=(y-6),12x-y=66-12,12-y=-6+72,12x-7z=y-6

12 (x - 6) = (y - 6), 12 x - y = 66 - 12, 12 - y = - 6 + 72, 12 x - 7 z = y - 6

2x+3y=8,3x+4y=11

2 x + 3 y = 8, 3 x + 4 y = 11

Frequently Asked Questions (FAQ)

What is 2x+3y=7,5x-y=9 ?
The solution to 2x+3y=7,5x-y=9 is x=2,y=1