Use the eliminatio method to solve the system of equations. Choose the correct order pair: 3x+5y=48 -3x+5y=12

Mathematics

1 answer:

kifflom [539]3 years ago

7 0

Answer:

(6,6)

Step-by-step explanation:

3x+5y=48

-3x+5y=12

Ok so when you're doing elimination you want to combine all of the like terms. In this case, we need to combine 3x and -3x, 5y and 5y, and 48 and 12. 3x and -3x cancel out, so that leaves you with 10y=60. Solving for y gives you y=6. Now you need to solve for x, so using 3x+5y=48, by plugging in y you get 3x+(5*6)=48. Simplifying that gives you 3x+30=48. Subtract 30 and divide by 3, and you get x=6. Thus the Answer is (x,y) or (6,6)

You might be interested in

Students in Miss Moseley's fourth grade class are learning multiplication, and they demonstrate mastery by passing assessments.

blagie [28]

Answer:
Each will have passed 17 tests and it will take 3 weeks.

Explanation: 
Let x be the number of weeks.
The number of tests Travis passes to begin with is 11.
We then add 2 tests per week, or 2x to that, giving us:
11+2x.

The number of tests Jenifer has passed to begin with is 2.
We then add 5 tests per week, or 5x to that, giving us:
2+5x.

Setting these equal, we have: 
11+2x=2+5x.

Subtract 2x from each side: 
11+2x-2x=2+5x-2x;
11=2+3x.

Subtract 2 from each side: 
11-2=2+3x-2;
9=3x.

Divide both sides by 3:
 $\frac{9}{3} = \frac{3x}{3}$ ;
3=x.

It will take 3 weeks.
In 3 weeks,
Travis will have passed:
11+2*3 = 11+6 = 17 tests.
Jenifer will have passed the same number, since she catches up with him at this point.

6 0

3 years ago

Read 2 more answers

Where does most of the evaporation happening within the water cycle occur?

Bess [88]

It depends, Where there is more water and more heat, there is more water to evaporate more quickly

4 0

3 years ago

Under her cell phone plan, Ellie pays a flat cost of $50 per month and $5 per

erastovalidia [21]

Answer:

She can use 4GB of data

You keep on adding five dollars on top of 50 until you reach 70.

6 0

3 years ago

Given the expression 3(4²) + 4 + 16-9, which operation would you perform first?

borishaifa [10]

Answer: 4²

Step-by-step explanation:

There is some rule but just remember:

1. parenthesis

2. exponents

3. division/multiplication

4. subtraction/addition

8 0

2 years ago

Where will you find the solution to a system of equations on a graph?

White raven [17]

X and Y If this does not help use khan academy

8 0

4 years ago