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frez [133]
3 years ago
11

How to solve 3 variable systems

Mathematics
1 answer:
AVprozaik [17]3 years ago
4 0
<span>Pick two pairs: 4x - 3y + z = - 10. 2x + y + 3z = 0. ... Eliminate the same variable from each system: 4x - 3y + z = - 10. 2x + y + 3z = 0. ... Solve the system of the two new equations: -5y - 5z = - 10. 5y - 7z = 34. ... Substitute into one of the original equations: - x + 2y - 5z = 17. ... <span>Check: Does 2(1) + 4 + 3(- 2) = 0 ? Yes.</span></span>
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What is the area of a parallelogram whose vertices are A(−12, 2) , B(6, 2) , C(−2, −3) , and D(−20, −3) ? Enter your answer in t
agasfer [191]

Answer:

  \boxed{90}\,\text{units$^2$}

Step-by-step explanation:

The sides AB and CD are parallel to the x-axis and 5 units apart. The length of side AB is 6-(-12) = 18 units. The area is the product of these dimensions:

  Area = (Base)(Height) = (18 units)(5 units) = 90 units²

4 0
3 years ago
Solve the simultaneous equations 8 x + 5 y = 28 4 x + 5 y = 16
Nostrana [21]

Answer:

x=3, y=0.8

Step-by-step explanation:

8x+5y=28

4x+5y=16

Subtract the second simultaneous equation from the first.

You are left with: 4x=12

12/4=3

x=3

Substitute this back into one of the equations.

8(3)+5y=28

8*3=24

28-24=4

4=5y

4/5=0.8

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5 0
3 years ago
Read 2 more answers
If M=5x^2+7x-4 and N=-3x^2-4x+5, then M-N equals
Phantasy [73]

Answer:

8x² + 11x - 9

Step-by-step explanation:

M - N

= 5x² + 7x - 4 - 1(- 3x² - 4x + 5) ← distribute parenthesis by - 1

= 5x² + 7x - 4 + 3x² + 4x - 5 ← collect like terms

= 8x² + 11x - 9

4 0
3 years ago
Math 9. please help, and show work :)
galina1969 [7]
3.5 cm from the centre
8 0
3 years ago
If you are currently making 6.75 per hour and you’re offered a new job that pays 7.47 per hour how much more would you make per
Nikolay [14]

Answer:

$0.72

Step-by-step explanation:

You are contrasting the numbers, so that means you are subtracting. When you subtract, the larger number goes on top..

7.47 - 6.75 = ?

So then you subtract and get $0.72.

I will make $0.72 more than I was at my current job.

-Mabel <3

6 0
3 years ago
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