Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Concept explainers
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
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:–2x+y=6
y = 3x + 4
![Substitute for y.
Substitute the right side of the
bottom equation (3x + 4) in place
of the y-variable in the first
equation.
-2x + (-
= 6
-2x +
= 6
Solve for x.
+ 4 = 6
- --
x+4 - 4 = 6_
X =
Use the x-value to find the y-value. Substitute the
x-value into one of the original equations to find the
y-value.
Substitute x = 2 into y = 3x - 4.
y = 3()+ 4
y =
y =-
+ 4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9a34a4d2-6205-4847-b921-b73638095595%2Fc8f013d1-7d05-4dd3-8e0e-ea7622f2b8d8%2Fu52bgs_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Substitute for y.
Substitute the right side of the
bottom equation (3x + 4) in place
of the y-variable in the first
equation.
-2x + (-
= 6
-2x +
= 6
Solve for x.
+ 4 = 6
- --
x+4 - 4 = 6_
X =
Use the x-value to find the y-value. Substitute the
x-value into one of the original equations to find the
y-value.
Substitute x = 2 into y = 3x - 4.
y = 3()+ 4
y =
y =-
+ 4
![Check your answer.
Substitute the x-value (2) and the
y-value (10) into the other
equation.
-2x + y - 6
-2(-)+.
= 6
= 6 v
CO](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9a34a4d2-6205-4847-b921-b73638095595%2Fc8f013d1-7d05-4dd3-8e0e-ea7622f2b8d8%2Fhba1hsb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Check your answer.
Substitute the x-value (2) and the
y-value (10) into the other
equation.
-2x + y - 6
-2(-)+.
= 6
= 6 v
CO
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