Solve each system graphically.

Question

#6.

4x - y = 9
x - 3y = 16

I need to find at least one pair of points that fit. I tried using the elimination method and got (5 and 6/7, -22), which did not even work for the first equation.

I also tried graphing it but it was too hard to tell.

Can anyone help me with solving this?

Thanks so much! :-)

Answer 1

you can try substitution

y=4x-9
x-3(4x-9) = 16
x - 12x + 27 = 16
-11x=-11

x=1

4-y=9
y=-5

(1,-5)

Answer 2

Didn't your question ask for a graphical solution?

so you have to find at least 2 ordered pairs for each equation and then draw them

for the first:
4x - y = 9 ---> y = 4x - 9

x y
1 -5
3 3

for the second:
x - 3y = 16 ---> x = 3y + 16

x y
4 -4
-2 6

graph both lines, they should intersect at (1,-5), the answer chopsticks gave you.

Answer 3

x+5y=7
-2x-7y=-5

Answer 4

4x+y=14 x + y = 1

x+y=-2

Answer 5

2×_3y=_24×+6y=18