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# how to solve symultanious equations

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how to solve symultanious equations

5x+2y=-2

3x-5y=17.4

yahya  May 13, 2017
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First, rewrite the equations so y is on it's own.

$$5x+2y=-2$$

$$2y=-2-5x$$

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

$$3x-5y=17.4$$

$$-5y=17.4-3x$$

$$y=\frac{17.4-3x}{-5}$$

Because both equations are equal to y, we can say they are equal to each other and solve for x.

$$\frac{-2-5x}{2}=\frac{17.4-3x}{-5}$$

$$10+25x=34.8-6x$$

$$31x=24.8$$

$$x=0.8$$

Then subsitute this value for x into either of the original equations to find the value of y.

$$y=\frac{-2-5(0.8)}{2}$$

$$y=-3$$

So x = 0.8 and y = -3

Will85237  May 14, 2017
edited by Will85237  May 14, 2017