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Popular >

3x+4y=14,2x+5y=21

Solution

3 x + 4 y = 14, 2 x + 5 y = 21

Solution

x = - 2, y = 5

Solution steps

[3 x + 4 y = 14 2 x + 5 y = 21]

Isolate

x

for

3 x + 4 y = 14 : x = \frac{14 - 4 y}{3}

Substitute

x = \frac{14 - 4 y}{3}

[2 \cdot \frac{14 - 4 y}{3} + 5 y = 21]

Simplify

[\frac{28 + 7 y}{3} = 21]

Isolate

y

for

\frac{28 + 7 y}{3} = 21 : y = 5

For

x = \frac{14 - 4 y}{3}

Substitute

y = 5

x = \frac{14 - 4 \cdot 5}{3}

\frac{14 - 4 \cdot 5}{3} = - 2

x = - 2

The solutions to the system of equations are:

x = - 2, y = 5

Popular Examples

23x+25y=119,25x+23y=121

23 x + 25 y = 119, 25 x + 23 y = 121

x-7y=-11,5x+2y=-18

x - 7 y = - 11, 5 x + 2 y = - 18

-10x-9y=29,-6x+18y=-6

- 10 x - 9 y = 29, - 6 x + 18 y = - 6

7x+5y-3z=16,3x-5y+2z=-8,5x+3y-7z=0

7 x + 5 y - 3 z = 16, 3 x - 5 y + 2 z = - 8, 5 x + 3 y - 7 z = 0

9x+6y=8,4x-2y=4

9 x + 6 y = 8, 4 x - 2 y = 4

Frequently Asked Questions (FAQ)

What is 3x+4y=14,2x+5y=21 ?
The solution to 3x+4y=14,2x+5y=21 is x=-2,y=5