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3 years ago

What does it mean to eliminate a variable?

Mathematics

1 answer:

uranmaximum [27]3 years ago

7 0

Answer:

The elimination method for solving systems of linear equations uses the addition property of equality. You can add the same value to each side of an equation.

So if you have a system: x – 6 = −6 and x + y = 8, you can add x + y to the left side of the first equation and add 8 to the right side of the equation. And since x + y = 8, you are adding the same value to each side of the first equation.

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tom and lisa each had a birthday party at hurricane harbor last weekend . the cost of admission was $137.50 for 13 children and

gregori [183]

Answer:

Per child admission costs $8.5

Per Adult admission costs $13.5

Step-by-step explanation:

Let x be the amount of admission per child and y be the amount of admission per adult

For Tom's party:

13x+2y=137.50 (Equation 1)

For Lisa's Party:

9x+2y=105.50 (Equation 2)

Using Elimination Method:

Add Equation 1 & 2

13x+2y=137.50

9x+2y=105.50

- - = - (Change of Signs)

---------------------------------

4x+0y=34.00

x=34/4

x=8.5

Putting the value of x in Equation 2

13(8.5)+2y=137.50

110.5+2y=137.50

2y=137.50-110.50

2y=27

y=27/2

y=13.5

4 0

3 years ago

I’m struggling please help.

Troyanec [42]

the answer is 7-c

i hope this helps. :)

8 0

3 years ago

5x +(3x −3)=6x +11 <br> PLEASE HELP FAST

oee [108]

$5x +(3x −3)=6x +11\\\\5x+3x-3=6x+11\\\\5x+3x-6x=11+3\\\\2x=14\\\\x=\frak{\dfrac{14}{2}}\\\\x=7$

8 0

3 years ago

Mr. Jackson drove 40 miles in June. He drove 6 times as many miles in August as he did in June. He drove 2 times as many miles i

Shtirlitz [24]

Answer:

13 1/3 miles

Step-by-step explanation:

40/6=6.66666667: August

6.6 repeating*2=13.3333333: July

Mr. Jackson drove 13 1/3 miles in July

8 0

2 years ago

How many times does the quadratic function below intersect the x-axis? y=x+10x+25

krok68 [10]

Answer:

It touches the x-axis once, but does not intersect it

Step-by-step explanation:

I'm assuming it's supposed to be y = x² + 10x + 25. This equation does not intersect the x-axis, but it does touch the x-axis.

Solve the equation for x...

0 = x² + 10x + 25

factor...

0 = (x + 5)(x + 5)

The solution repeats, this means that the function touches the x-axis and then bounces off, but doesn't intersect it. Intersect meant to cross the line, here it just touches it.

See the attached photo to see the graph...

5 0

3 years ago