Answer:
1. multiply the bottom equation by 2 or the top equation by 1/2
2. multiply the top equation by -2
3. multiply by nothing, it's done for us
Step-by-step explanation:
You want to find a number that will match either the X or Y so that they cancel out.
1.
16x-10y=10
-8x-6y=6
Multiply the bottom equation by 2
2(-8x-6y=6) this gives us -16x-12y=12.
16x-10y=10
-16x-12y=12
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0 - 22y = 22
y= -1
You will do the same for the following questions and you can add or subtract the system of equations.
2. Theres multiple ways to go about these, you can cancel out the Y by multiplying the top equation by 7 or cancel out the X by multiplying the top equation by -2. Im going to use -2 because it's smaller. -2(5x+y=9)
i use negative 2 because i need the 10 to cancel out. -10+10=0
-10x-2y=-18
10x-7y=-18
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0 - 9y = - 36
y= -36 divided by -9
y= 4
3. For 6 it is done for you, the X will cross out. simply add the two equations across.
9y= -9
y= -1
* To find the X, just plug the Y value we found back in but your worksheet only asks for the variable to multiply it by to cancel one out.