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3 years ago

If 6x+4y=2 and 2x-7y=20 what is 8x-3y ???? ???

Mathematics

1 answer:

Marizza181 [45]3 years ago

4 0

Just add the two equations.

8x-3y=22

I hope this helps :)

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Please help! Thanks in advance.

alukav5142 [94]

In this problem, we need to plug in the given x values for $f(x)=0$ and find a and b.

When we plug in 1, we get: $2 \times {1}^{4} - 5 \times {1}^{3} - 14 \times {1}^{2} + a \times 1 + b = 0$

Simplify:
$2 - 5 - 14 + a + b = 0$
$- 17 + a + b = 0$
$a + b = 17$

We got our first statement about the values of the variables. If we find one more we can find those 2 variables.

We have another given root: 4.

Plug it in:
$2 \times {4}^{4} - 5 \times {4}^{3} - 14 \times {4}^{2} + a \times 4 + b = 0$
$512 - 320 - 224 + 4a + b = 0$
$- 32 + 4a + b = 0$
$4a + b = 32$

Now we have our second one. We can combine them:
$a + b = 17 \\ 4a + b = 32$

I use elimination method which is easier here.

Multiply the top equation by -1: $- a - b = - 17 \\ 4a + b = 32$

Add them up:
$3a = 15$

Simplify:
$a = 5$

Now we have a, we can plug in one of those equations to find b:
$5 + b = 17$
$b = 17 - 5$
$b = 12$

So, the answers are $a=5$ and $b=12$ .

6 0

3 years ago

Max can spend up to $9 on lunch. He wants to buy a turkey sandwich, bottle of water, and x pounds of potato salad. Write and sol

Elza [17]

4.25+2.25+4x is less than or = to 9

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3 years ago

What is the answer to <br> 1/4 - (-3/4)

Nookie1986 [14]

Answer:

Step-by-step explanation:

1/4+3/4 this makes a plus because a -&- makes +

1+3/4

4/4

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2 years ago

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muminat

If the polynomial is of the form x^2+bx+c (ie., no factor in front of the x^2!!) then you can look for numbers that add up to b and multiply to c.

So in this case: what two numbers, when added, give -2 and when multiplied, give 1? A little trial and error gives you -1 and -1.
So the factorization is (x-1)(x-1). This is zero for x=1. There is only one zero.

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3 years ago

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What is the least common denominator of 3/4, 4/5, 2/3?

morpeh [17]

D A A C A C A B A D A C B B 1/1/3 B 43/1/5 A A

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2 years ago

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