solving systems of two variable equations

using the graphing technique

problem 1 y=3x

problem 2 y =x+2

problem 3 x – y= 10

Can some one help me with these

solving systems of two variable equations

using the graphing technique

problem 1 y=3x

problem 2 y =x+2

problem 3 x – y= 10

solving systems of two variable equations

using the graphing technique

problem 1 y=3x

problem 2 y =x+2

problem 3 x – y= 10

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Parviz F. | Mathematics professor at Community CollegesMathematics professor at Community Colle...

Just need to graph each line , on scale and read the (x,y) on scale. The answer should be same answer as the algebraic solution.

y = X+2

y = X+2

3x -y =10

to graph. Y= x+2

intercept points : ( 0,2) y intercept, (-2,0) X-intercept. Graph by connecting the intercept

points.

to graph 3x - y = 10 : Intercepts : (0, -10) ,and ( 10/3, 0). Graph by connecting

intercepts.

Y = X+2

3X -y = 10

Solution by algebraic method.

Substitute Y in first equation into 2nd.

3X - X -2 = 10

2X - 2 = 10

2X = 12

X = 6

Substitute X =6 into 1st equation:

Y =6+2 =8

Answer : ( 6, 8) . The intersection point should read from scale ( 6,8).

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