Question

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

a. 2

b. -2

c. 1

d. -1

Answer 1

what method you need using ?

Answer 2

any

Answer 3

\[2x + 3y = 4 \\x - 2y = -5\] multiply the second equation by \(-2\) and add it to the first

Answer 4

?

Answer 5

-2(x-2y=-5)=
-2x+4y=10

Answer 6

Now add it to the other equation.

Answer 7

i still dont understand /:

Answer 8

2x+3y=4
-2x+4y=10
7y=14
y=2

Do you know what to do now?

Answer 9

is that the answer?

Answer 10

No. That gives you the value of y. You asked for the value of x.

Answer 11

To get the value of x, plug in the value of y into any of the first two equations and solve for x.

Answer 12

i get it now! thanks

Answer 13

No problem. Tell us what you get.

Answer 14

x= -1

Answer 15

Great!