Mathematics, 20.12.2020 18:30 IntellTanito

Solve by using elimination. Express your answer as an ordered pair.

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Answer from: sarah957

Greetings again.

The answer is (3,5)

Explanation:

Other previous questions about the System of Two Variables Linear Equations. Previous questions, both y-terms have the same absolute-values but different operator/sign. Some questions previously have same operators as we multiply one of the equation by -1 to eliminate.

But this question, there are no terms that are same. Especially not the same looking value.

And what do we do if it's like this?

The answer is, do something to make both equations have same absolute value but different operators.

That is to multiply. For this question, I'll be eliminating x-term. So I'll multiply both equations to make the x-term have same absolute-value and different operator.

Because 2 and 3 can multiply into 6. Therefore, multiply the whole first equation by 3 and multiply the whole second equation by 2.

$\left \{ {{2x+5y=31} \atop {3x-2y=-1}} \right. \\\left \{ {{2x(3)+5y(3)=31(3)} \atop {3x(2)-2y(2)=-1(2)}} \right. \\\left \{ {{6x+15y=93} \atop {6x-4y=-2}} \right.$

This is our new equations. Since we need to eliminate x-term. We multiply one of the equation by -1. I'll choose the second equation to multiply.

$6x(-1)-4y(-1)=-2(-1)\\-6x+4y=2$

$\left \{ {{6x+15y=93} \atop {-6x+4y=2}} \right.$

Then proceed with add/subtract vertically

6x-6x = 0

15y+4y = 19y

93+2 = 95

Therefore, we get 19y = 95

$19y=95\\y=\frac{95}{19} \\y=5$

Our y-value is 5. However, we are not done yet. Since this is the System of Two Variables Linear Equation. We need to find the x-value too to express in ordered pairs. (x,y)

Choose any given equations to substitute y = 5 in. I'll substitute y = 5 in 3x-2y=-1

3x-2y=-1

Substitute y = 5 in the equation.

$3x-2(5)=-1\\3x-10=-1\\3x=-1+10\\3x=9\\x=3$

Thus, when y = 5, x = 3 or when x = 3, y = 5. As the ordered pairs = (x,y) Therefore, the answer is (3,5)

Answer from: Quest

the answer is the option b

the range is all real numbers

step-by-step explanation:

we know that

the absolute value parent function is equal to

see the attached figure to better understand the problem

a. it is v-shaped > is true

b. the range is all real numbers > is not true

because the range is the > [0,∞)

all real numbers greater than or equal to zero

c. it goes through the origin > is true

d. the domain is all real numbers > is true

step-by-step explanation:

Answer from: Quest

you might have to contact customer support. if you have it on your iphone you just got into your settings> subscriptions> cancel

step-by-step explanation:

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Solve by using elimination. Express your answer as an ordered pair.
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