Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.5: Multiplication With The Addition-or-subtraction Method
Problem 17P
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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
Transcribed Image Text:3x = -5y + 8
4.
3.
2.
Зх 3D —5у + 8
(1, 1)
y
(х, у)
응-1름 (0,1층)
4
-3
-2
e y-intercept
= 1
-2
= 2-
3
(2늘, 0) |-x-intercept
-3
1
1
(1, 1)
- Check point
--4
Graph 2x =
-2y + 16 by finding the intercepts.
10
Graph Layers
«
Clear All
9.
8
After you add an object to the graph you
7
Delete
can use Graph Layers to view and edit its
6
properties.
4
Fill
3
2
1
10 -9
-8
-2
-1
2
10
-1
-2
No
-3
Solution
-4
-5
-6
-7
-8
-9
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Help
WebAssign. Graphing Tool
NI3
3/5
Transcribed Image Text:Graph 3x =
-5y + 8 by finding the intercepts.
We will let x = 0 to find the y-intercept of the graph. We will then let y
the x-intercept.
= 0 to find
Since two points determine a line, the y-intercept and x-intercept are enough
information to graph this linear equation.
We find the intercepts and select x = 1 to find a check point.
y-intercept: x = 0
Зх %3D —5у + 8
) = -5y + 8
х-intercept: у %3D0
Зх%3D —5у + 8
3x = -5(
Check point: x = 1
Зх %3D —5у + 8
|) = -5y + 8
3(
) + 8
3(
0 = -5y +
X = 8
3 = -5y +
%3D
-5y
= -5y
X =
= y
= y
A check point is (1, 1).
= y
X = 2
(2를, 이
The y-intercept is (0, 12).
The x-intercept is
The ordered pairs are plotted as shown, and a straight line is then drawn through them.
y
3x = -5y + 8
4
2.
3x = -5y + 8
(1, 1)
(0.1)
().
y
(х, у)
(0,1층
(2름, )
8.
3
12) - y-intercept
-2
= 1-
--
5
-2
= 24
- x-intercept
-3
1
(1, 1)
e Check point
-4
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