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Nataly [62]
1 year ago
8

3x+y=115x-y=21 Directions: Solve each system of equations by elimination. Clearly identify your solution.

Mathematics
1 answer:
olchik [2.2K]1 year ago
8 0

To solve, we will follow the steps below:

3x+y=11 --------------------------(1)



5x-y=21 ------------------------------(2)

since y have the same coefficient, we can eliminate it directly by adding equation (1) and (2)

adding equation (1) and (2) will result;

8x =32

divide both-side of the equation by 8

x = 4

We move on to eliminate x and then solve for y

To eliminate x, we have to make sure the coefficient of the two equations are the same.

We can achieve this by multiplying through equation (1) by 5 and equation (2) by 3

The result will be;

15x + 5y = 55 ----------------------------(3)

15x - 3y =63 --------------------------------(4)

subtract equation (4) from equation(3)

8y = -8

divide both-side of the equation by 8

y = -1

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It is no solution, bc the answer is (0,0)
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Which term is not a like term?<br><br> 3x<br> 4y<br> 7x<br> x
Katena32 [7]

Answer:

4y is not a like term.

Step-by-step explanation:

Unlike the other variables, 4y has a y instead of an x. The numbers with an x variable can all be combined, but 4y can't be combined with an x variable.

6 0
3 years ago
A chemist is using 382 milliliters of a solution of acid and water. If 15.4% of the solution is acid, how many milliliters of ac
Elina [12.6K]

Answer:

58.8

Step-by-step explanation:

basic facts:

-15.4% is the same as 15.4/100

- the word 'of' in maths means times

so 15.4% of the 382ml is the same as

382*15.4/100

to do that, you multiply 382 by 15.4 = 5882.8

then you divide that by 100= 58.828

and then you just round that of to 58.8

                                 

8 0
3 years ago
What would be the total cost of purchasing the number of shirts needed to use your coupon—after your coupon is applied and a 7.5
jeyben [28]
How much do the shirts cost and how much is cupon worth
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3 years ago
A gaming console cost $299.99. Each game that comes with the console is an additional cost of $20.00. Mr. Yao decide to by x num
givi [52]

This question is not correctly written

Complete Question

A gaming console cost $299.99. Each game that comes with the console is an additional cost of $20.00. Mr. Yao decide to by x number of games Write a variable expression for cost of the number of games Mr. Yao bought

Answer:

Variable expression for the cost of the number of games that Mr Yao bought =

$20x

Where x = number of games that he bought.

Step-by-step explanation:

A variable expression can be defined as a mathematical expression where there is at least one (or more) unknown variable(s)that we have to look or solve for.

The unknown variable is always represented by letters of the alphabet, a, b, x, y e.t.c.

A variable expression can also be called an algebraic expression.

From the above question, we are told that:

Cost of a gaming console = $299.99

If you buy a game with the console = Additional $20.00

My Yao bought = x number of games

Variable expression for the cost of the x number of games that Mr Yao bought

$20 × x

= $20x

Where x = number of games that Mr Yao bought.

4 0
3 years ago
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