X - 4y = 12 X - 5y = 15 PLS HELP ME SOLVE USING ELIMINATION

Mathematics

1 answer:

balu736 [363]3 years ago

7 0

Answer:

(0, -3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

x - 4y = 12

x - 5y = 15

Step 2: Solve for y

Elimination

Subtract 2 equations: y = -3

Step 3: Solve for x

Define original equation: x - 4y = 12
Substitute in y: x - 4(-3) = 12
Multiply: x + 12 = 12
Subtract 12 on both sides: x = 0

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Answer:

Step-by-step explanation:

This is a Bernoulli trial problem.

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Option A is the right answer

3 0

3 years ago

If 1 is added to a number and the sum is tripled, the result is 17 more than the number. Find the number

bearhunter [10]

Form an equation. Start by representing the number you want to find as X. Now add 1.
X + 1
Now we need to triple it. That basically means multiply X+1 by 3. You can write that as:
3 (X + 1)
Now we write out that the result is 17 more than the number we want to find. So set an equals sign up
3 (X + 1) =
And now write X + 17
3 (X + 1) = X + 17

Now we solve for X.
Firstly, let's get rid of the X on the right.
Remember, if we want to get rid of a number of variable on one side, we need to use opposites, and do the same to the other side of the equation.
In this case, we have a positive X on the right. To get rid of that, we subtract X from both sides. This will leave us with:
2x + 3 = 17
Now let's get rid of the +3 on the left. To do this, we subtract 3 from both sides of the equation.
2x = 17 - 3
2x = 14
Now we just need to get X by itself. The 2 in front of the X multiplies X by 2. Therefore, to get X on its own, we need to divide 2x by 2, which just gives us 2.
We also need to divide the other side by 2, because if we do something on one side, we need to do something on the other too. So divide 14 by 2, and we get 7.
X = 7

But before we celebrate, let's double check the answer. Add 1 to 7. This gives us 8. Triple 8. This is 24. This should be 17 more than 7. So go, 24 - 17. And whaddya know - it's 7!