Question

What is the solution for this system of linear equations: Check my answer please,
y=-4x+23
y=7x-43
so 7x-43=-4x+23
subtracted 7 from both sides
-43=-11+23
then subtract 23 from both sides
-66 divided by -11 = 6
so x=6 ? :)

Answer 1

can you help me find y?

Answer 2

x = 6 is correct

Answer 3

nice work so far

Answer 4

pick any equation with x and y in it

say you pick the first one

Answer 5

y = -4x + 23

now plug in x = 6 and evaluate to find y

y = -4(6) + 23

y = -24 + 23

y = -1

Answer 6

yes

Answer 7

you can also use the second equation to get the same y value

y=7x-43

y=7(6)-43 ... plug in x = 6

y = 42 - 43

y = -1

Answer 8

So that's a good way to check. If you get two different y values for some given x value, then something went wrong.

Answer 9

Thank you so much! I was confused on finding the y. I was just putting x in the place of the x in the original question. Thank you!! :)

Answer 10

you're welcome

Answer 11

remember set them side by side for this one

subtract 23 on both sides and subtract 7 from both sides


it should look like this

-4x+23=7x-43
-7 -23 -7 -23
-------------
-11x=-66
x=6

and now plug in 6 in any of the first equations Lets pick the first one to get y

-4(6)+23
-24+23
y=-1