127k views
1 vote
To solve this system of equations by addition (elimination), what could you multiply each equation by to cancel out the x-variable?

A: 2x−3y=−6B: −5x−9y=15


A. Multiply A by 2 and B by 5
B. Multiply A by -5 and B by 2
C. Multiply A by 5 and B by -2
D. Multiply A by 5 and B by 2

User Mike McKay
by
8.2k points

1 Answer

4 votes
You will multiply A by 5 and B by 2.

A: 5(2x - 3y) = -6(5)
B: 2(-5x - 9y) = 15(2)

Simplify.

A: 10x - 15y = -30

B: -10x - 18y = 30

When you add down:

10x + (-10x) = 0 <--- Eliminates the x-value.

(-15y) + (-18y) = -33y

(-30) + 30 = 0

Your ending solution will be -33y = 0

Hope this helps! :)


User Parth Patel
by
8.5k points

Related questions

asked Jul 28, 2024 7.1k views
Krishnaacharyaa asked Jul 28, 2024
by Krishnaacharyaa
8.2k points
1 answer
3 votes
7.1k views
1 answer
4 votes
26.2k views
asked Sep 8, 2018 7.1k views
Soyuz asked Sep 8, 2018
by Soyuz
8.8k points
2 answers
0 votes
7.1k views