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Lunna [17]
3 years ago
12

Can someone help and explain this to me please...?

Mathematics
1 answer:
TEA [102]3 years ago
4 0

Answer:

[<em>j</em>, <em>k</em>] →[9, 5]

[<em>g</em>, <em>h</em>] → [4, 2]

[<em>x</em>, <em>y</em>] → [−4, −4]

Step-by-step explanation:

{4j - 2k = 26

{5j - 2k = 35

−⅘[5j - 2k = 35]

{4j - 2k = 26

{−4j + 1⅗k = −28 >> NEW EQUATION

________________

−⅖k = −2

_____ ___

−⅖ −⅖

k = 5 [Plug this back into both equations above to get the j-value of 9]; 9 = j

__________________________________________________________

{6g + 8h = 40

{−6g + 2h = −20

________________

10h = 20

h = 2 [Plug this back into both equations above to get the g-value of 4]; 4 = g

__________________________________________________________

{4x - 9y = 20

{2x - 6y = 16

−½[4x - 9y = 20]

{−2x + 4½y = −10 >> NEW EQUATION

{2x - 6y = 16

_________________

−1½y = 6

______ __

−1½ −1½

y = −4 [Plug this back into both equations above to get the x-value of −4]; −4 = x

** Tip: Keep using the Elimination Method until you really have to use the Substitution Method. Use the Substitution Method only when one variable is given to you in one of or both equations, meaning that at least one of the equations has to be in Slope-Intercept Form [<em>y = mx + b</em>].

I am joyous to assist you anytime.

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A candidate took a phone poll of 110 people. Of the 110 people polled, 87 said they would vote for the other person. There are 9
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Option B

7569 number of people are going to vote for the other candidate

<em><u>Solution:</u></em>

Given that candidate took a phone poll of 110 people

Of the 110 people polled, 87 said they would vote for the other person

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You can set up this problem like a proportion

Let "x" be the number of people who would vote for the other candidate

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To solve proportions, you cross-multiply. This means you multiply the numerator by the other denominator, and the denominator by the other numerator

87 \times 9570 = 110 \times x

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