Question

7x +2y = 24
8x+2y= 30
What is x and y

Answer 1

For 7x +2y = 24, the answer for x is
`(-2)/(7)y+(24)/(7)` and y is
`(-7)/(2)+12x`

Solve: (x)Let's solve for x.

7x+2y=24

Step 1: Add -2y to both sides.

7x+2y+−2y=24+−2y

7x=−2y+24

Step 2: Divide both sides by 7.

7x/7=-2y+24/7

(y) Let's solve for y.

7x+2y=24

Step 1: Add -7x to both sides.

7x+2y+−7x=24+−7x

2y=−7x+24

Step 2: Divide both sides by 2.

2y/2=-7x+12/2

For 8x+2y= 30, the answer for x is
`x=(-1)/(4)y+(15)/(4)` and y is
`y=-4x+15`

Solve:(x)Let's solve for x.

8x+2y=30

Step 1: Add -2y to both sides.

8x+2y+−2y=30+−2y

8x=−2y+30

Step 2: Divide both sides by 8.

8x/8=-2y+30/8

(y)Let's solve for y.

8x+2y=30

Step 1: Add -8x to both sides.

8x+2y+−8x=30+−8x

2y=−8x+30

Step 2: Divide both sides by 2.

2y/2=-8x+30/2

Answer 2

x = 6

y = -9

Explanation:

we have:

7x +2y = 24 equation 1

8x+2y= 30 equation 2

using equation 2 we have:

8x = 30 -2y

x=
`(30-2y)/(8)` equation 3

using equation 3 in equation 1 we have:

7(
`(30-2y)/(8)`)+2y = 24

`(210)/(8) - (14y)/(8) +2y =24\\\\(1)/(4)y = -(18)/(8)  \\\\y=-(18)/(8) * 4\\\\y=-9`

so we have:

x=
`(30-2(-9))/(8)`

x=
`(30+18)/(8)`

x=6