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lianna [129]
3 years ago
6

How many solutions will this system of equations have? (2 points)

Mathematics
1 answer:
Agata [3.3K]3 years ago
3 0
The answer is infinitely many solutions

If you divide the 2nd equation by 3, you get the first equation, meaning they are identical. That means that any value of x will be true, which means there are infinite solutions
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1.) -2(6 - 2x) = 4(-3 + x)<br> 2.) 5 - 1(2x + 3) = -2(4 + x)
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Let's solve your equation step-by-step.

Question 1:   −2(6−2x) =4(−3+x)

 

Step 1: Simplify both sides of the equation.

−2(6−2x) =4(−3+x)

(−2) (6) +(−2) (−2x) =(4)(−3)+(4)(x)(Distribute)

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Step 2: Subtract 4x from both sides.

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Step 3: Add 12 to both sides.

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0=0

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Question 2:  

Let's solve your equation step-by-step.

5−1(2x+3) =−2(4+x)

 

Step 1: Simplify both sides of the equation.

5−1(2x+3) =−2(4+x)

5+(−1) (2x) +(−1) (3) =(−2) (4)+(−2)(x)(Distribute)

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−2x+2=−2x−8

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Step 2: Add 2x to both sides.

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Step 3: Subtract 2 from both sides.

2−2=−8−2

0=−10

 

Answer: There are no solutions.

 

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3 years ago
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astraxan [27]
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