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Ugo [173]
3 years ago
14

What is the first step in solving this system of equations by elimination? 5a + 3b = –9 2a – 5b = –16

Mathematics
1 answer:
Elis [28]3 years ago
5 0
<span>Multiply one of the equations so that both equations share a common complementary coefficient.
       In order to solve using the elimination method, you need to have a matching coefficient that will cancel out a variable when you add the equations together. For the 2 equations given, you have a huge number of choices. I'll just mention a few of them.
   You can multiply the 1st equation by -2/5 to allow cancelling the a term.
   You can multiply the 1st equation by 5/3 to allow cancelling the b term.
   You can multiply the 2nd equation by -2.5 to allow cancelling the a term. You can multiply the 2nd equation by 3/5 to allow cancelling the b term.
   You can even multiply both equations.
For instance, multiply the 1st equation by 5 and the second by 3. And in fact, let's do that. 5a + 3b = –9 2a – 5b = –16 5*(5a + 3b = -9) = 25a + 15b = -45
   3*(2a - 5b = -16) = 6a - 15b = -48
       Then add the equations 25a + 15b = -45
   6a - 15b = -48
   =
   31a = -93
   a = -3
       And then plug in the discovered value of a into one of the original equations and solve for b.</span>
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Sue bought two pairs of jeans and a belt that costs $6.95 the tax on the items was $5.85 sue pay the cashier $70 how much money
yaroslaw [1]
<span>cost of two pair of jeans- $55
   cost of belt-$ 5.85
   tax- $5.85
       total bill- $67.8
       as sue paid $70 to the cashier for the bill amount so she will get $2.2 change in return.</span>
6 0
3 years ago
4(2x+8)=10x+2-2x+30 what is x?
Anastaziya [24]

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

4(2x+8)=10x+2−2x+30

Step 1: Simplify both sides of the equation.

4(2x+8)=10x+2−2x+30

(4)(2x)+(4)(8)=10x+2+−2x+30(Distribute)

8x+32=10x+2+−2x+30

8x+32=(10x+−2x)+(2+30)(Combine Like Terms)

8x+32=8x+32

8x+32=8x+32

Step 2: Subtract 8x from both sides.

8x+32−8x=8x+32−8x

32=32

Step 3: Subtract 32 from both sides.

32−32=32−32

0=0

Answer:

All real numbers are solutions.

5 0
2 years ago
Noelle is drawing fraction bars to model the sum of One-fifth and Three-fourths. What is the smallest number of equally sized pi
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Answer:

20

Step-by-step explanation:

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A customer cannot travel orange company if they have $10
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What is the result of the division?
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Answer:

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Step-by-step explanation:

4 0
3 years ago
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