What is 4x+2y=7,3x-5y=-24 ?

The solution to 4x+2y=7,3x-5y=-24 is x=-1/2 ,y= 9/2

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4x+2y=7,3x-5y=-24

4 x + 2 y = 7, 3 x - 5 y = - 24

x = - \frac{1}{2}, y = \frac{9}{2}

Solution steps

[4 x + 2 y = 7 3 x - 5 y = - 24]

Isolate

x

for

4 x + 2 y = 7 : x = \frac{7 - 2 y}{4}

Substitute

x = \frac{7 - 2 y}{4}

[3 \cdot \frac{7 - 2 y}{4} - 5 y = - 24]

Simplify

[\frac{21 - 26 y}{4} = - 24]

Isolate

y

for

\frac{21 - 26 y}{4} = - 24 : y = \frac{9}{2}

For

x = \frac{7 - 2 y}{4}

Substitute

y = \frac{9}{2}

x = \frac{7 - 2 \cdot \frac{9}{2}}{4}

\frac{7 - 2 \cdot \frac{9}{2}}{4} = - \frac{1}{2}

x = - \frac{1}{2}

The solutions to the system of equations are:

x = - \frac{1}{2}, y = \frac{9}{2}

2 x + 3 y - 11 = 4, x - 3 y + 5 = 0

4 x - 3 y = 19, 2 x + 3 y = 23

5 x + 3 y = 29, 7 x - 5 y = 13

2 x + 3 y = 6, 4 x + 6 y = 12

5 x + y = - 9, 7 x + 3 y = - 39