solve the equation and show your solution on the graph 3x+2y=1 2x-y=10
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter9: Solving Quadratic Functions
Section: Chapter Questions
Problem 10CR
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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Question
solve the equation and show your solution on the graph
3x+2y=1
2x-y=10
Expert Solution
Step 1
The given system of equations is,
Solve the system as follows.
From the second equation , we have .
Step 2
Substitute in the first equation and solve for x as shown below.
Now solve for y as follows.
Therefore, the solution of the given system is .
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