What is the answer to - 3x+2y=5

3x+y=7

x=1

y=4

(1, 4)

Step-by-step explanation:

To solve simultaneous equation, we can use either of these three methods. Substitution method, elimination method or graphical method. But for the purpose of this question, we would be using the elimination method.

-3x+2y=5 Equation 1

3x+y=7. Equation 2

Since in the two equations, x has the same coefficient, we can eliminate x by adding both equations together

-3x+3x=0

2y+y=3y

5+7=12

We now have 3y=12

Divide both sides by 3

y=12/3

y=4

Substitute y for 4 in equation 2.

3x+4=7

3x=7-4

3x=3

Divide both sides by 3

x=3/3

x=1

x=1 and y=4