Solve the system of equations.
-5x + 2y =9

x=1, y=7

Explanation:

the system is:

{-5x+2y=9

{y=7x

first, simplify the expression:

{-5x+2y=9

{-7x+y=0

then, multiply both sides of the equation by -2:

{-5x+2y=9

{14x-2y=0

then, eliminate one variable by adding the equations:

9x=9

divide both sides by 9:

x=1

substitute the value of x into the equation:

-7x+y=0

-7(1)+y=0

solve the equation:

y=7

the answer is:

(x,y)=(1,7)

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