What is 4(2x+y)+5(2x-y)=17,3(2x+y)-(2x-y)=8 ?

The solution to 4(2x+y)+5(2x-y)=17,3(2x+y)-(2x-y)=8 is x=1,y=1

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4(2x+y)+5(2x-y)=17,3(2x+y)-(2x-y)=8

4 (2 x + y) + 5 (2 x - y) = 17, 3 (2 x + y) - (2 x - y) = 8

x = 1, y = 1

Solution steps

[4 (2 x + y) + 5 (2 x - y) = 17 3 (2 x + y) - (2 x - y) = 8]

Isolate

x

for

4 (2 x + y) + 5 (2 x - y) = 17 : x = \frac{17 + y}{18}

Substitute

x = \frac{17 + y}{18}

[3 (2 \cdot \frac{17 + y}{18} + y) - (2 \cdot \frac{17 + y}{18} - y) = 8]

Simplify

[\frac{38 y + 34}{9} = 8]

Isolate

y

for

\frac{38 y + 34}{9} = 8 : y = 1

For

x = \frac{17 + y}{18}

Substitute

y = 1

x = \frac{17 + 1}{18}

Simplify

x = 1

The solutions to the system of equations are:

x = 1, y = 1

y + 12 x - 2 y = 4, x = 2

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

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

2 x + y = 60, x + 6 y = 250

x = 3, y = 2

What is 4(2x+y)+5(2x-y)=17,3(2x+y)-(2x-y)=8 ?
The solution to 4(2x+y)+5(2x-y)=17,3(2x+y)-(2x-y)=8 is x=1,y=1