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Popular >

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

Solution

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

Solution

x = 2, y = 1

Solution steps

[2 x + y = 5 x + 2 y = 4]

Isolate

x

for

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

Substitute

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

[\frac{5 - y}{2} + 2 y = 4]

Simplify

[\frac{5 + 3 y}{2} = 4]

Isolate

y

for

\frac{5 + 3 y}{2} = 4 : y = 1

For

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

Substitute

y = 1

x = \frac{5 - 1}{2}

\frac{5 - 1}{2} = 2

x = 2

The solutions to the system of equations are:

x = 2, y = 1

Popular Examples

w(x,z,y)+x+z=5,y+z=8,x+z=2

w (x, z, y) + x + z = 5, y + z = 8, x + z = 2

2 x - y = 2, 2 x + y = 13

2y-3x=1,-4y+6x=-2

2 y - 3 x = 1, - 4 y + 6 x = - 2

2x+3y=2,(k+2)x+(2k+1)y=2(k-1)

2 x + 3 y = 2, (k + 2) x + (2 k + 1) y = 2 (k - 1)

3x+2y=16,5x-3y=-5

3 x + 2 y = 16, 5 x - 3 y = - 5

Frequently Asked Questions (FAQ)

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