The result of adding the given equations is 2x+7y=4.
Step-by-step explanation:
Given equations are;
5x-9y=1 Eqn 1
-7x+2y=-5 Eqn 2
Adding Eqn 1 and 2
[tex](5x-9y)+(-7x+2y)=1+(-5)\\5x-9y-7x+2y=1-5[/tex]
Arranging alike terms;
[tex]5x-7x-9y+2y=-4\\-2x-7y=-4[/tex]
Dividing each term by -1
[tex]\frac{-2x}{-1}+\frac{-7y}{-1}=\frac{-4}{-1}\\2x+7y=4[/tex]
The result of adding the given equations is 2x+7y=4.
Keywords: addition, linear equations
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