Question

Solve the system of equations. −5x+2y=9 y=7x ​

Answer 1

Answer:

$x=1\\y=7$

Step-by-step explanation:

$-5x+2y=9\\y=7x$

Replace y in the first equation.

$-5x+2(7x)=9$

Distribute the 2 and combine like terms;

$-5x+14x=9\\9x=9$

Divide by 9

$x=\frac{9}{9}\\ x=1$

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After having found x, you can replace it in any of the equations to find y. I'll use the second equation.

$y=7x\\y=7(1)\\y=7$

Answer 2

Answer:

x=1  y=7

Step-by-step explanation:

−5x+2y=9

y=7x

Substitute the second equation into the first

-5x +2(7x) = 9

Distribute

-5x +14x = 9

Combine like terms

9x=9

Divide by 9

9x/9 =9/9

x= 1

Now find y

y = 7(1)

y = 7