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bearhunter [10]
3 years ago
13

2. Solve the following system of equations using substitution.

Mathematics
1 answer:
SOVA2 [1]3 years ago
4 0
First, make sure you convert both equations into standard form. Your two equations would be 2x+2y=38 and -x+y=3. Then multiply the bottom by 2. So your new equations would be 2x+2y=38 and -2x+2y=6. The x would cancel out and you would continue solving for y. y would equal 11 and then you would plug it back into an original equation. When you plug and solve for x, you would get x=8. So your answer would be (8,11)
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Two grapefruits and three oranges cost $1.95. Three grapefruits and two oranges cost $2.05.
geniusboy [140]

Answer:

  • one orange costs $0.35  and  one grapefruit costs $0.45

Step-by-step explanation:

<em>let grapefruits be g , let oranges be o</em>

so first equation:

→2g + 3o  = $1.95

→g = ($1.95 - 3o)/2

so second equation:

→ 3g + 2o = $2.05

→ g = ($2.05 - 2o)/3

Solving simultaneously:

→ ($2.05 - 2o)/3 = ($1.95 - 3o)/2

→ 2($2.05 - 2o) = 3($1.95 - 3o)

→ 4.1 - 4o = 5.85 - 9o

→ - 4o + 9o = 5.85 - 4.1

→ 5o = 1.75

→ o = $0.35

Therefore one orange costs $0.35

Then one grapefruit costs g → ($1.95 - 3o)/2

                                               → g = ($1.95 - 3(0.35))/2

                                               → g = 0.45

Therefore one grapefruit costs $0.45

4 0
2 years ago
Increase 120 centimetres by 24%
Eva8 [605]
It is a simple problem where 120 centimeters need to be increased by 24%. The increased length can be found by:
120 * (24/100)
= 12 * (24/10)
= 288/10
= 28.8 centimeters
Then the total length of increase = 28.8 cm
Then the increased length = (120 + 28.8) cm
                                         = 148.8 cm
So the length becomes 148.8 cm after it is increased by 24%.
3 0
3 years ago
PLEASE HELP WILL MARK BRANIEST IF RIGHT
GREYUIT [131]
She a runner she a track star
7 0
2 years ago
What is the value of y ?
Dmitry [639]

Answer:

6

Step-by-step explanation:

Chords within a circle are proportional. Proportional means that they form equal ratios. To solve for y, set up a proportion.

The ratios we will create will be \frac{long}{short} =\frac{long}{short} where each long and short form an angle.

So write:

\frac{12}{8} =\frac{y}{4}

To solve, cross multiply numerator with denominator.

12(4) = 8(y)

48=8y

6=y


4 0
3 years ago
Please help I'll give brainiest
Irina18 [472]
What do you need help on exactly?
6 0
3 years ago
Read 2 more answers
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