Substitution Method

10/28/2011

How do you solve this system of equations using the substitution method?
3x - 4y = 10
y = x - 3

3x - 4(x - 3) = 10 {substituted x - 3, in for y, into top equation}
3x - 4x + 12 = 10 {used distributive property}
-x + 12 = 10 {combined like terms}
-x = -2 {subtracted 12 from both sides}
x = 2 {divided both sides by -1}

y = x - 3 {bottom equation}
y = 2 - 3 {substituted 2, in for x, into bottom equation}
y = -1 {subtracted}

x = 2 and y = -1

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SHELBY

12/1/2011 09:02:25 am

THANKS FOR THE SIMPLE WAY OF DOING THIS PROBLEM

jessyl tugonon

4/1/2012 01:15:24 pm

yeah, i got the correct answer.:) i love this website as it helps me recalling my past memories in math.

Algebra House link

4/1/2012 01:57:59 pm

Perhaps you should impress the world with your skills, by answering questions in the "Ask the House" forum! You can get to it by clicking on the menu at the top. You could help save the world from all of Algebra's problems!

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Substitution Method

Examples