Solve for x. This gives a formula for solving two equations in two variables for x.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter1: Equations And Inequalities
Section1.1: Linear Equations And Rational Equations
Problem 74E: Solve each formula for the specified variable. ax+b=0;x.
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Solve

for x. This gives a formula for solving two equations in two variables for x.

 

Expert Solution
Step 1

Given:

a1x+b1y=c1   ...(1)a2x+b2y=c2   ...(2)

Step 2

From equation (1), 

a1x+b1y=c1

Subtract a1x from both sides,

a1x+b1y-a1x=c1-a1xb1y=c1-a1x

Divide both sides by b1,

b1yb1=c1-a1xb1y=c1b1-a1b1x

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