Question 775700: solve the system of equations
y= 2x-4
y= 4x-10
Answer by algebrahouse.com(1659)   (Show Source):
You can put this solution on YOUR website! y = 2x - 4
y = 4x - 10
Since both expressions are equal to y, then they are equal to each other.
2x - 4 = 4x - 10 {substituted 2x - 4, in for y, into bottom equation}
-4 = 2x - 10 {subtracted 2x from each side}
2x = 6 {added 10 to each side}
x = 3 {divided each side by 2}
y = 2x - 4 {top equation}
y = 2(3) - 4 {substituted 3, in for x, into top equation}
y = 6 - 4 {multiplied}
y = 2 {subtracted}
x = 3 and y = 2
By the way, (3,2) is the point of intersection of the two lines when
they are graphed on a coordinate plane.
For more help from me, visit: www.algebrahouse.com
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