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# Pre algebra help 10 questions 20 mintues

Examine this system of equations. Which number can be multiplied by each equation so that when the two equations are added together, the y term is eliminated?
3/4 +2/3y=6
5/8+5/6=12
15 times the first equation and 12 times the second equation
15 times the first equation and –12 times the second equation
30 times the first equation and –6 times the second equation
30 times the first equation and 6 times the second equation
Collin wants to solve this system of equations. Which number can he multiply the first equation by so that when the two equations are added together, the x term is eliminated?
1/2x+1/4y=5
2x+3/8y-5
–4
–2
2
4
Alexa pays 7/20 of a dollar for each minute she uses her pay-as-you-go phone for a call, and 2/5 of a dollar for each minute of data she uses. This month, she used a total of 85 minutes and the bill was \$31. Which statements are true? Check all that apply.
The system of equations is x + y = 31 and 7/20x +2/5y =85
The system of equations is x + y = 85 and 7/20x +2/5y =31
To eliminate the y-variable from the equations, you can multiply the equation with the fractions by 5 and leave the other equation as it is.
To eliminate the x-variable from the equations, you can multiply the equation with the fractions by 20 and multiply the other equation by -7.
She used 25 minutes for calling and 60 minutes for data.
She used 60 minutes for calling and 25 minutes for data.
She used 20 minutes for calling and 11 minutes for data.
She used 11 minutes for calling and 20 minutes for data.
Examine this system of equations. Which numbers can be multiplied by each equation so that when the two equations are added together, the x term is eliminated?
1/5x+3/4y=9
2/3x=-5/6y=8
–10 times the first equation and 3 times the second equation
10 times the first equation and 3 times the second equation
–3 times the first equation and 5 times the second equation
3 times the first equation and 5 times the second equation
Examine the system of equations. Which is an equivalent form of the first equation that when added to the second equation eliminates the y terms?
-5/8x +3/4y=12
8x+12y=11
10x – 12y = –192
–10x + 12y = 192
5x – 12y = 96
–5x + 12y = 96
A box containing a total of 179 copies of two different paperback books was shipped to Marci’s school. The total weight of the books was 128 pounds. If the weight of each of the first paperbacks was 2/3 of a pound and the weight of each of the second paperbacks was 2/4 of a pound, which statements are true? Check all that apply.
The system of equations is x + y = 179 and 2/3x+3/4y=128
The system of equations is x + y = 128 and 2/3x+3/4y=179
To eliminate the x-variable from the equations, you can multiply the equation with the fractions by 3 and leave the other equation as it is.
To eliminate the y-variable from the equations, you can multiply the equation with the fractions by –4 and multiply the other equation by 3.
There are 104 copies of one book and 24 copies of the other.
There are 93 copies of one book and 35 copies of the other.
There are 104 copies of one book and 75 copies of the other.
There are 93 copies of one book and 86 copies of the other.