Question

Please help me solve this equation please and thank you

Answer 1

Answer: (x, y) = (3, 4)

This is the same as saying x = 3 and y = 4 pair up together

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Step-by-step explanation:

Subtract the equations straight down.

• The x terms subtract to 5x (because -5x-(-10x) = -5x+10x = 5x)
• The y terms subtract to 0 (because 2y-2y = 0)
• The right hand side values subtract to 15 (because -7-(-22) = -7+22 = 15)

After all that is said and done, we have this new equation

5x = 15

Divide both sides by 5 to get x = 3

Then we use this x value to find y

-5x+2y = -7

-5(3)+2y = -7

-15+2y = -7

2y = -7+15

2y = 8

y = 8/2

y = 4

Or,

-10x+2y = -22

-10(3)+2y = -22

-30+2y = -22

2y = -22+30

2y = 8

y = 8/2

y = 4

Either way, we end up with y = 4.

Overall, the solution as an ordered pair is (x, y) = (3, 4)

If you were to graph the two equations, they intersect at the location (3,4).

Answer 2

Step-by-step explanation:

-5x + 2y = -7 --------------------(I)

-10x + 2y = -22 ------------------(II)

Multiply the whole equation (I) by (-1) and then add.

(I)*(-1) 5x - 2y = 7

(II) -10x+2y= -22 {Now add. y will be cancelled}

-5x = -15

x = -15/(-5)

x = 3

Plugin x = 3 in equation (I)

-5*3 + 2y = -7

-15 + 2y = -7

2y = -7 +15

2y = 8

y = 8/2

y = 4