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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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Alja [10]

Answer:

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Similarly, in this question, if one batch requires 1 3/4 cups of flour and Kristen wants to bake 3 1/2 batches, she would need 1 3/4 x 3 1/2 cups of  flour.

1 3/4 can be rewritten as an improper fraction- 7/4.

3 1/2 can also be rewritten as an improper fraction- 7/2.

Multiplying 7/4 and 7/2, we obtain a final product of 49/8, or 6 1/8.

This means, Kristen will need 6 1/8 cups of flour to make 3 1/2 batches, and her belief that she needs 3 3/8 cups of flour is wrong, as she needs  a lot more than that.

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8 0
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