solve 3x + y = 7 and 2x + 3y = 1 useing elimination method
Answers
Answer:
Step-by-step explanation:
3x + y -= 7
2x + 3y = 1
So first, you want to make the both x values the same, or the y
In this case, I would go for y, which mean, you times the whole of the first equation by 3, to get 3y which will give u:
9x + 3y = 21
2x + 3y = 1
Now, you have the y values the same, so they cancel out which means, you add the rest of the equation because a + and + gives you +. So now you have :
9x + 2x = 11x
21 + 1 = 22
so your new equation is:
11x = 22
You divide by 11 to get x by itself
and you need to do it to both sides which give you:
x = 2
Now, you can substitute the value of x(2) into any of the ORIGINAL equations
I'd substitute it into this equation:
2x + 3y = 1
=
2(2) + 3y = 1
4 + 3y = 1
You subtract 4 from both sides which leaves you with :
3y = -3
Divide both sides by 3
and now you have your answer as y = -1
x = 2
y = -1
I hope this helped!