Question

Solve the system of linear equations y = -2x + 19 y = x + 7

Answer 1

x = 4

y = 11

Explanation:

y = -2x + 19

y = x + 7

Put y as x + 7 in the first equation and solve for x.

x + 7 = -2x + 19

Add 2x and -7 on both sides.

x + 7 + 2x - 7 = -2x + 19 + 2x - 7

x + 2x = 19 - 7

Combine like terms.

3x = 12

Divide both sides by 3.

3x/3 = 12/3

x = 4

Put x as 4 in the second equation and solve for y.

y = 4 + 7

y = 11

Answer 2

x=4, y=11

Explanation:

y = -2x + 19

y = x + 7

Since both equations are equal to y, we can set them equal to each other

-2x + 19= x + 7

Add 2x to each side

-2x + 19+2x= x + 7+2x

19 = 3x+7

Subtract 7 from each side

19-7 = 3x+7-7

12 = 3x

Divide by 3

12/3 = 3x/3

4=x

Now find y

y=x+7

y = 4+7

y=11