what i need answered

Question

Solve the system: x - y = 11 and 3x + 10y = -6 Write your answer as a coordinate point

Answer 1

x-y=11

3x+10y=-6

Using elimination

10(x-y)=10(11)

10x-10y=110

+3x+10y=-6

13x=104

x=8

3(8)+10y=-6

Solve for y and get y=-3, so it is (8,-3)

Answer 2

Hello, Kaitlyn

Let's rearrange the first equation to find x:

x - y = 11

x = 11 + y

Substitute this value of x that into the second equation

3x + 10y = -6

3(11+y) + 10y = -6

33 + 3y + 10y = -6

13y = -39

y = -3

Use this value of y in either equation fo find x.

x = 11+ y

x = 11 -3

x = 8

The lines intersect at (8, -3). This is the one point both equations share in common.

Bob