Algebra 1
1st Edition
ISBN: 9780078884801
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Question
Chapter 6.3, Problem 24PPS
To determine
To solve the system of equations using elimination method
Expert Solution & Answer
Answer to Problem 24PPS
x=2
y=1
Explanation of Solution
Given:
Equations:
4(x+2y)=84x+4y=12
Calculation:
Let the equations be numbered as
4(x+2y)=8 →(1)
4x+4y=12 →(2)
Expand equation (1) as follows:
4x+8y=8 →(3)
Subtract (3) from (2), so that x is eliminated.
4x+4y=12−4x−8y=−8 −4y=−4 [When subtracting the sign of (3) changes]
−4y=−4 [Divide −4 on both sides]y=−4−4y=1
Substitute the value of y=1 in one of the equations.
Say, equation (2)
4x+4(1)=124x+4=12 [Subtract 4 on both sides]4x=12−44x=8x=84 [Divide 4 on both sides]x=2
Conclusion:
Therefore, the required solution for the given system of equation is x=2 and y=1.
Chapter 6 Solutions
Algebra 1
Ch. 6.1 - Prob. 1ACYPCh. 6.1 - Prob. 1BCYPCh. 6.1 - Prob. 2ACYPCh. 6.1 - Prob. 2BCYPCh. 6.1 - Prob. 3CYPCh. 6.1 - Prob. 1CYUCh. 6.1 - Prob. 2CYUCh. 6.1 - Prob. 3CYUCh. 6.1 - Prob. 4CYUCh. 6.1 - Prob. 5CYU
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- 1. vector projection. Assume, ER1001 and you know the following: ||||=4, 7=-0.5.7. For each of the following, explicitly compute the value. འབ (a) (b) (c) (d) answer. Explicitly compute ||y7||. Explain your answer. Explicitly compute the cosine similarity of and y. Explain your Explicitly compute (x, y). Explain your answer. Find the projection of onto y and the projection of onto .arrow_forward2. Answer the following questions using vectors u and v. --0-0-0 = find the the cosine similarity and the angle between u and v. འརྒྱ (a) (b) find the scalar projection of u onto v. (c) find the projection of u onto v. (d) (e) (f) find the scalar projection of onto u. find the projection of u onto u. find the projection of u onto and the projection of onto . (Hint: find the inner product and verify the orthogonality)arrow_forwardPlease type out answerarrow_forward
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