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stepladder [879]
3 years ago
9

4) 4x + 3y = 56 2x + y = 24 Solve using elimination please show work

Mathematics
1 answer:
lesya [120]3 years ago
7 0

Answer:

x = 8     y = 8

Step-by-step explanation:

Multiply 2nd equation by -3 to get -6x - 3y = -72

Now  4x + 3y = 56

         <u>-6x - 3y = -72</u>

         -2x      =  -16

            x = 8

Substitute x = 8 into the 2nd equation

2(8) + y = 24

16 + y = 24

y = 8

Check:  Substitute the values into the 1st equation

4(8) + 3(8) = 32 + 24 = 56  So we have the correct values for x and y

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-4y=-20x+40<br> y+10=5x
mart [117]

Answer:

infinitely many solutions

Step-by-step explanation:

We want to find solution to the system:

-4y=-20x+40

y+10=5x

We make y the subject in the second equation to get;

y=5x-10

We substitute y=5x-10 into the top equation to get:

- 4(5x - 10) =  - 20x + 40

We expand to obtain;

- 20x  + 40=  - 20x + 40

This implies that:

40 = 40

Therefore the system has infinitely many solutions.

8 0
3 years ago
Please help and I'll love you foreverrrrr no joke!!!
spin [16.1K]
Only like sedans: 25- 15 = 10

Only like hatchbacks: 40-15 = 25

Like both: 15

Like none of them: 100-10-25-15 = 50

Dislike sedans: 100 - 10-15 = 75

Dislike hatchbacks: 100-25-15 = 60

So dislikes: sedans>hatchbacks
4 0
3 years ago
PLZZZZ HELP The Lakeview city council is considering two different plans to help reduce the amount of pollution in the city. Pla
sdas [7]
1. The two equations follow the slope-intercept form which y=mx + b. They have the same y-intercept which is equal to 900.

2. Suppose x= 10
    Plan Alpha: y=-7x+900=-7(10)+900=830
    Plan Foxtrot: y = -17x+900 = -17(10)+900=730
    
    Between the 2 plans, the lower value is 730. Plan Foxtrot is better for reduction of pollution.

3. The city council should choose Plan Foxtrot because the reduction of pollution is much greater. Their goal would be reached faster if they go with faster reduction of pollution.
5 0
2 years ago
6. Find the area of the triangle below.<br> Be sure to include the correct unit in your answer.
snow_tiger [21]

Answer:

512

Step-by-step explanation: area of triangle= 1/2*base*height

4 0
3 years ago
Read 2 more answers
Solve and show work: <br> f(300) = 90 + 0.11x
Vinil7 [7]
300-90= 90-90 +0.11x                                                                                              210=0.11x                                                                                                               210/.11     0.11x/0.11
   1909 = x I think but Idk
6 0
3 years ago
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