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grandymaker [24]
2 years ago
13

Solve the simultaneous equations 4x + 5y = 4 2x - y = 9 Show clear algebraic working.

Mathematics
2 answers:
Natasha2012 [34]2 years ago
7 0

Step-by-step explanation:

4x+5y=4 (equation 1)

2x-y=9 (equation2)

solving equation 1 and 2 and multiplying equation 2 by 2

4x+5y=4

4x-2y=18

- + -

________

7y= -14

y= -2

putting the value of y in equation 2

2x-y=9

2x+2=9

2x=7

x=3.5

Mashcka [7]2 years ago
7 0

Answer:

x= \dfrac 72, ~~y= -2

Step by step explanation:

4x+5y=4~~~...(i)\\\\2x-y=9~~~...(ii)\\\\\text{Multiply eq (ii) by 2 to isolate x:}\\\\4x-2y=18~~~.....(iii)\\\\(iii)-(i):\\\\4x-2y-4x-5y=18-4\\\\\implies -7y=14\\\\\implies y = -\dfrac{14}7 = -2\\\\\text{Substitute}~ y=-2~ \text{in equation (iii):}\\\\4x-2(-2) = 18\\\\\implies 4x +4 = 18\\\\\implies 4x = 18-4\\\\\implies 4x = 14\\\\\implies x = \dfrac{14}4 = \dfrac 72\\\\\text{Hence}~ (x,y) =\left(\dfrac 72 , -2 \right)

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$247.5 was the original amount on the credit card

Lets simplify the problem,

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Percentage:

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Marat540 [252]

Answer:

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Step-by-step explanation:

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3 years ago
If h(x) = (f o g)(x) and h(x) = sqrt(x+5), find g(x) if f(x) = sqrt(x+2)
agasfer [191]

Answer:

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Step-by-step explanation:

<h3>Given</h3>
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  • f(x) = \sqrt{x+2}
<h3>To find</h3>
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<h3>Solution</h3>

<u>We know that:</u>

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<u>Substitute x with g(x) and solve for g(x):</u>

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