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Popular >

2x+7y=17,5x+4y=2

Solution

2 x + 7 y = 17, 5 x + 4 y = 2

Solution

x = - 2, y = 3

Solution steps

[2 x + 7 y = 17 5 x + 4 y = 2]

Isolate

x

for

2 x + 7 y = 17 : x = \frac{17 - 7 y}{2}

Substitute

x = \frac{17 - 7 y}{2}

[5 \cdot \frac{17 - 7 y}{2} + 4 y = 2]

Simplify

[\frac{85 - 27 y}{2} = 2]

Isolate

y

for

\frac{85 - 27 y}{2} = 2 : y = 3

For

x = \frac{17 - 7 y}{2}

Substitute

y = 3

x = \frac{17 - 7 \cdot 3}{2}

\frac{17 - 7 \cdot 3}{2} = - 2

x = - 2

The solutions to the system of equations are:

x = - 2, y = 3

Popular Examples

x+4y-z=12,3x+8y-2z=4

x + 4 y - z = 12, 3 x + 8 y - 2 z = 4

(2)x-3y=1,3x-2y+4=0

(2) x - 3 y = 1, 3 x - 2 y + 4 = 0

x + 2 y = 5, 3 x - y = 1

x+y-2z=9,2x-y+4z=4,2x-y+6z=-1

x + y - 2 z = 9, 2 x - y + 4 z = 4, 2 x - y + 6 z = - 1

x = y, x = 0, y = 3

Frequently Asked Questions (FAQ)

What is 2x+7y=17,5x+4y=2 ?
The solution to 2x+7y=17,5x+4y=2 is x=-2,y=3