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Popular >

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

Solution

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

Solution

x = 3, y = \frac{5}{2}

Solution steps

[3 x + 2 y = 14 - x + 4 y = 7]

Isolate

x

for

3 x + 2 y = 14 : x = \frac{14 - 2 y}{3}

Substitute

x = \frac{14 - 2 y}{3}

[- \frac{14 - 2 y}{3} + 4 y = 7]

Simplify

[\frac{- 14 + 14 y}{3} = 7]

Isolate

y

for

\frac{- 14 + 14 y}{3} = 7 : y = \frac{5}{2}

For

x = \frac{14 - 2 y}{3}

Substitute

y = \frac{5}{2}

x = \frac{14 - 2 \cdot \frac{5}{2}}{3}

\frac{14 - 2 \cdot \frac{5}{2}}{3} = 3

x = 3

The solutions to the system of equations are:

x = 3, y = \frac{5}{2}

Popular Examples

4x+3y=84,2x+5y=70

4 x + 3 y = 84, 2 x + 5 y = 70

5 x + 3 y = 8, 3 x + y = 2

3x+5y=40,2x+4y=25

3 x + 5 y = 40, 2 x + 4 y = 25

3x-y=17,2x+3y=-4

3 x - y = 17, 2 x + 3 y = - 4

((x+y))/((x-y))=-7,((x+y+1))/((x+y-1))= 3/4

\frac{( x + y )}{( x - y )} = - 7, \frac{( x + y + 1 )}{( x + y - 1 )} = \frac{3}{4}

Frequently Asked Questions (FAQ)

What is 3x+2y=14,-x+4y=7 ?
The solution to 3x+2y=14,-x+4y=7 is x=3,y= 5/2