Solve the system and answer the problem's question. The system S40x + 60y = 1920 l10x + 100y = 1160 can be solved by addition. We'll multiply the second equation by -4 and then add equations to eliminate x. ( 40x + 60y = 1920 ( 10x + 100y = 1160 No change Multiply by -4. 40x + 60y 1920 %3D -40x 400y -4640 Add: -340y = -2720 -2720 = 8 y = -340 Now we can find the value of x by back-substituting 8 for yin either of the system's equations. 10x + 100y = 1160 We'll use the second equation. 10x + 100(8) 1160 Back-substitute 8 for y. 10x + 800 1160 Multiply. 10x = 360 Subtract 800 from both sides. = 36 Divide both sides by 10.

Algebra and Trigonometry (6th Edition)
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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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Solve the system and answer the problem's question. The system
S40x + 60y = 1920
l10x + 100y = 1160
can be solved by addition. We'll multiply the second equation by -4 and then add
equations to eliminate x.
( 40x + 60y = 1920
( 10x + 100y = 1160
No change
Multiply by -4.
40x + 60y
1920
%3D
-40x
400y
-4640
Add:
-340y
= -2720
-2720
= 8
y =
-340
Now we can find the value of x by back-substituting 8 for yin either of the system's equations.
10x + 100y = 1160 We'll use the second equation.
10x + 100(8)
1160
Back-substitute 8 for y.
10x + 800
1160 Multiply.
10x = 360
Subtract 800 from both sides.
= 36
Divide both sides by 10.
Transcribed Image Text:Solve the system and answer the problem's question. The system S40x + 60y = 1920 l10x + 100y = 1160 can be solved by addition. We'll multiply the second equation by -4 and then add equations to eliminate x. ( 40x + 60y = 1920 ( 10x + 100y = 1160 No change Multiply by -4. 40x + 60y 1920 %3D -40x 400y -4640 Add: -340y = -2720 -2720 = 8 y = -340 Now we can find the value of x by back-substituting 8 for yin either of the system's equations. 10x + 100y = 1160 We'll use the second equation. 10x + 100(8) 1160 Back-substitute 8 for y. 10x + 800 1160 Multiply. 10x = 360 Subtract 800 from both sides. = 36 Divide both sides by 10.
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