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Popular >

3x+5y=7,2x-y=-4

Solution

3 x + 5 y = 7, 2 x - y = - 4

Solution

x = - 1, y = 2

Solution steps

[3 x + 5 y = 7 2 x - y = - 4]

Isolate

x

for

3 x + 5 y = 7 : x = \frac{7 - 5 y}{3}

Substitute

x = \frac{7 - 5 y}{3}

[2 \cdot \frac{7 - 5 y}{3} - y = - 4]

Simplify

[\frac{14 - 13 y}{3} = - 4]

Isolate

y

for

\frac{14 - 13 y}{3} = - 4 : y = 2

For

x = \frac{7 - 5 y}{3}

Substitute

y = 2

x = \frac{7 - 5 \cdot 2}{3}

\frac{7 - 5 \cdot 2}{3} = - 1

x = - 1

The solutions to the system of equations are:

x = - 1, y = 2

Popular Examples

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

7x+4y=30,3y+2y=14

7 x + 4 y = 30, 3 y + 2 y = 14

7x+9y=42,12x+10y=-4

7 x + 9 y = 42, 12 x + 10 y = - 4

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

x-201=0,y-202=0

x - 201 = 0, y - 202 = 0

Frequently Asked Questions (FAQ)

What is 3x+5y=7,2x-y=-4 ?
The solution to 3x+5y=7,2x-y=-4 is x=-1,y=2