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Popular >

5y+2x=21,2x+y=5

Solution

5 y + 2 x = 21, 2 x + y = 5

Solution

x = \frac{1}{2}, y = 4

Solution steps

[5 y + 2 x = 21 2 x + y = 5]

Isolate

y

for

5 y + 2 x = 21 : y = \frac{21 - 2 x}{5}

Substitute

y = \frac{21 - 2 x}{5}

[2 x + \frac{21 - 2 x}{5} = 5]

Simplify

[\frac{21 + 8 x}{5} = 5]

Isolate

x

for

\frac{21 + 8 x}{5} = 5 : x = \frac{1}{2}

For

y = \frac{21 - 2 x}{5}

Substitute

x = \frac{1}{2}

y = \frac{21 - 2 \cdot \frac{1}{2}}{5}

\frac{21 - 2 \cdot \frac{1}{2}}{5} = 4

y = 4

The solutions to the system of equations are:

x = \frac{1}{2}, y = 4

Popular Examples

(2^a)/((2^b))=256,2^a*2^b=1

\frac{2 ^{a}}{( 2 ^{b} )} = 256, 2^{a} \cdot 2^{b} = 1

9x+14y=83,39x-35y=-23

9 x + 14 y = 83, 39 x - 35 y = - 23

4x+2y=5,3x+6y=6

4 x + 2 y = 5, 3 x + 6 y = 6

x+y+2z=-1,2x-y+2z=-4,4x+y+4z=-2

x + y + 2 z = - 1, 2 x - y + 2 z = - 4, 4 x + y + 4 z = - 2

63x-14y=75,66x+14y=210

63 x - 14 y = 75, 66 x + 14 y = 210

Frequently Asked Questions (FAQ)

What is 5y+2x=21,2x+y=5 ?
The solution to 5y+2x=21,2x+y=5 is x= 1/2 ,y=4