Question

What is the value of the x variable in the solution to the following system of equations?
2x + 3y = 4
x - 2y = -5

2

-2

1

-1

Answer 1

because you get a set of answer, just try each of them in for the x and see which has the same solution.
if x=2 then y=0 and y=-7/5 X
if x=-2 then y=8/3 and y=3/2 X
if x=1 then y=3/2 and y=3 X
if x=-1 then y=2 and y=2 O
the x solution is -1 and the y solution is 2.

Answer 2

the alternate method of solving this would be to isolate one variable and insert it into the other eqation.
x=2y-5 can be assumed given x-2y=-5
2(2y-5) + 3y =4 <--- this can be solved for the Y value. w/e that is can be inserted into either equation for the X value.

Answer 3

thank you!! :) can you help me with another?

Answer 4

sure

Answer 5

For the following system, if you isolated x in the second equation to use the Substitution Method, what expression would you substitute into the first equation?

3x + y = 8
-x - 2y = -10

-2y + 10

2y + 10

2y - 10

-2y - 10

Answer 6

to isolate X in the second equation would give you:
\[x=-2y+10\]
that is substituted into the first to replace X.
-2y+10 is you answer

Answer 7

thank you so much! :D

Answer 8

x = -1 & y = 2