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Popular >

6x+5y=32,2x+5y=12

Solution

6 x + 5 y = 32, 2 x + 5 y = 12

Solution

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

Solution steps

[6 x + 5 y = 32 2 x + 5 y = 12]

Isolate

x

for

6 x + 5 y = 32 : x = \frac{32 - 5 y}{6}

Substitute

x = \frac{32 - 5 y}{6}

[2 \cdot \frac{32 - 5 y}{6} + 5 y = 12]

Simplify

[\frac{32 + 10 y}{3} = 12]

Isolate

y

for

\frac{32 + 10 y}{3} = 12 : y = \frac{2}{5}

For

x = \frac{32 - 5 y}{6}

Substitute

y = \frac{2}{5}

x = \frac{32 - 5 \cdot \frac{2}{5}}{6}

\frac{32 - 5 \cdot \frac{2}{5}}{6} = 5

x = 5

The solutions to the system of equations are:

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

Popular Examples

3x+3y=5,0.62x+3y+2z=8,0.42y+3z=6.5

3 x + 3 y = 5, 0.62 x + 3 y + 2 z = 8, 0.42 y + 3 z = 6.5

6p-2q+r=8,p-q+4r=-15,4q-23r=30

6 p - 2 q + r = 8, p - q + 4 r = - 15, 4 q - 23 r = 30

2x+7y=3,x+5y+7=8

2 x + 7 y = 3, x + 5 y + 7 = 8

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

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

2r+3s=1,4r-s=12

2 r + 3 s = 1, 4 r - s = 12

Frequently Asked Questions (FAQ)

What is 6x+5y=32,2x+5y=12 ?
The solution to 6x+5y=32,2x+5y=12 is x=5,y= 2/5