Question

What is the value of x in the solution to the following system of equations?

x − y = −3
x + 3y = 5

Answer 1

can some one help?

Answer 2

Are you familiar with the three methods to solve linear equations ? Substitution , Addition , I forgot what the other one was

Answer 3

yes a little bit

Answer 4

You can use to first equation to find y in terms of x:
x - y = -3
Subtracting x from both sides we get
-y = -x - 3
Multiplying both sides by -1 gives us
y = x + 3
Now plug the value for y into the second of the original equations, giving:
x + 3(x + 3) = 5 ...................(1)
Now you just need to solve equation (1) to find the value of x.

Answer 5

how do i solve for 1?

Answer 6

well how do i solve x+3(x+3)=5

Answer 7

x + 3(x + 3) = 5 ...................(1)
Expanding the brackets gives
x + 3x + 9 = 5
Adding like terms we get
4x + 9 = 5 ............(2)
Now you should be able to solve equation (2).

Answer 8

4x+9=5
-9 -9
4x=-4

Answer 9

is that right so far?

Answer 10

Yes, 4x = -4 is correct. Now divide both sides by 4.

Answer 11

x=-1?

Answer 12

You are correct.

Answer 13

alright thanks man, greatly appreciate your help

Answer 14

You're welcome :)