x+3y=18 and -x+2y=7

Question

solving systems of equations by graphing or using a table

Answer 1

Given equations are x+3y = 18

Subtract 3x from each side.

x-x+3y = -x+18

Divide to each side by 3.

3y/3 = -x/3+18/3

y = -x/3+6 ------> (1)

And -x+2y = 7

Add x to each side.

x-x+2y = x+7

Diivide to each side by 2.

2y/2 = x/2+7/2

y = x/2+7/2 -------> (2)

To find coordinate pairs substitute x = 0,1,-1 n above equatons.

equation	x	y
y =-x/3+6	0	6
	1	7/3
	-1	-19/3
y=x/2+7/2	0	7/2
	1	4
	-1	3

Graph to above equations.

Observe the graph the two lines are intersecting at (3,5).

Solution of given system is x =3, y = 5.