Question

Solve the system of linear equations by graphing. (4 points)

​Hint: Rewrite each equation in slope-intercept form y=mx+b
​x+3y=64x−6y=6
​
​
​Correct Graphs (2 points)
​ALL work shown in Scratch Pad (2 points)

Answer 1

The solution is x=3, y=1

Explanation:

we have

`x+3y=6` ----> equation A

`4x-6y=6` ----> equation B

Rewrite each equation in slope intercept form

`y=mx+b`

Equation A

`x+3y=6`

isolate the variable y

`3y=-x+6`

`y=-(1)/(3)x+2` ----> equation A in slope intercept form

Equation B

`4x-6y=6`

isolate the variable y

`6y=4x-6`

`y=(4)/(6)x-1`

Simplify

`y=(2)/(3)x-1` ----> equation B in slope intercept form

Solve the system by graphing

Remember that the solution of the system of equations is the intersection point both graphs

using a graphing tool

The intersection point is (3,1)

therefore

The solution is x=3, y=1

see the attached figure