SOLUTION: Solve the system. y= x + -2 y= -3x + 10 x=______ y=______ I am just not understanding it at all.

Algebra.Com
Question 561298: Solve the system.
y= x + -2
y= -3x + 10
x=______
y=______
I am just not understanding it at all.

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Solve the system.
y= x + -2
y= -3x + 10
:
We know that y = y, therefore we can write it
x - 2 = -3x + 10
x + 3x = 10 + 2
4x = 12
x = 12/4
x = 3
:
Find y using the 1st equation
y = x - 2
y = 3 - 2
y = 1
:
Check solutions in the 2nd equation
y = -3(3) + 10
y = -9 + 10
y = 1, confirms our solutions of x = 3, y = 1
:
Are you understanding this now? C

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