Solve each system by elimination X-4y-z=16 X=-2 Y=3z-3

1 answer:

5 0

Fill in x=-2 and y=3z-3 into the first equation. -2-4(3z-3)-z=16. -2-12z+12-z=16. -13z+10=16. -13z=6. Z=-6/13. Then you fill in z into y=3z-3. 3(-6/13)-3. -18/13-3. -18/13-39/13. Y=-57/13. The answer is (-2,-57/13,-6/13).

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Twice a number plus 6 times the number is 72

ExtremeBDS [4]

Answer:

Step-by-step explanation:

Let the no be x

By the conditions given ,

2x + 6x = 72

8x = 72

x = 72/8

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therefore the no is 9

6 0

3 years ago

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IrinaVladis [17]

Let s represent the measure of the second angle.

The measure of the first angle is 15° less than the second, so we can represent the first angle by (s-15).

The measure of the third angle is 45° more than half the second, so we can represent the third angle by (45+(s/2)).

The sum of these angles is 180°, so we can represent the sum as

... (s-15) + s + (45+s/2) = 180

Collecting terms, we have

... 2.5s +30 = 180

... 2.5s = 150 . . . . . . subtract 30

... s = 150/2.5 = 60 . . . . divide by the coefficient of s

The first angle is 60-15 = 45.

The second angle is 60.

The third angle is 45+60/2 = 75.

_____

Check

The sum of the three angles is 45 +60 +75 = 180.

6 0

3 years ago

At a particular restaurant, each onion ring has 65 calories and each slider has 250 calories. A combination meal with onion ring

andre [41]

Answer:

The number of onion rings is 3 in the combination meal and the number of sliders is 2 in the combination meal.

Step-by-step explanation:

Given:

At a particular restaurant, each onion ring has 65 calories and each slider has 250 calories. A combination meal with onion rings and sliders has a total of 5 onion rings and sliders altogether and contains 695 calories.

Now, to find the number of onion rings in the combination meal and the number of sliders in the combination meal.

Let the number of onion rings in the combination meal be $x.$