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Vedmedyk [2.9K]
3 years ago
6

Solve this equation by the substitution method f(x)={2x+3y=25, {x-y=5

Mathematics
2 answers:
Kipish [7]3 years ago
8 0
The second equation is perfect. We can add y to both sides to make the equation equal x.
X=5+y; let's plug that in for x in the first equation.
2(5+y)+3y=25
10+2y+3y=25
5y+10=25
Let's subtract 10 from both sides.
5y=15
Now divide both sides by 5.
Y=3
So y is 3. We can plug 3 in for y in the second equation.
X-3=5
X=8
So, X=8 and Y=3.
Katyanochek1 [597]3 years ago
5 0
2x + 3y = 25
x - y = 5


x-y = 5 [make x the subject]
x= 5 +y

Now substitute,
2(5+y) + 3y =25
10 + 2y + 3y =25
10 + 5y = 25
5y = 25-10
5y=15
y=15÷5
y=3

Now to find x, substitute the value of y

x = 5 +y
x = 5 +3
x = 8

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Answer:

The bottom one.

Step-by-step explanation:

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2 years ago
Ron wants to buy a video game with a selling price of ?$36?, on sale for? 50% off. The sales tax in his state is 5.5 %. How much
cestrela7 [59]

Answer:

Yes, it costs $18.99.

Step-by-step explanation:

The game is originally $36 and a game 50% off is 36/2 = $18.

The sale price is $18.

The state charges 5.5% tax which means you pay 105.5% of the sale price.

1.055(18) = 18.99

The final total is 18.99 which means Ron's $19 is enough.

7 0
3 years ago
Write a linear equation in point-slope form to model the situation below:
Lilit [14]

Answer:

y - 14.95 = 18.075(x-1)

Step-by-step explanation:

If an internet company charges $14.95 per month and a setup fee, then we can say

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If the total cost for 9 months is $159.55

Then we can write both cases as a coordinate (1, 14.95) and (9,159.55)

The equation of a line in point slope form is expresses as

y-y0 = m(x-x0)

Find the slope m

m = 159.55-14.95/9-1

m = 144.6/8

m = 18.075

Substitute m = 18.075 and any of the coordinate in the equation to have;

Using the coordinate (1, 14.95)

y - 14.95 = 18.075(x-1)

Hence a linear equation in point-slope form that model the situation is y - 14.95 = 18.075(x-1)

3 0
2 years ago
A customer went to a garden shop and bought some potting soil for $11.50 and 9 shrubs. The total bill was $94.75. Write and solv
Vladimir79 [104]
Hey there,

Your question states: <span>A customer went to a garden shop and bought some potting soil for $11.50 and 9 shrubs. The total bill was $94.75. Write and solve an equation to find the price of each shrub.

So, I will do 94.75 minus 11.50 because he bought nice scrubs so that would be 83.25.

I will do 83.25 divided by 9 because that's the number that person bought, each scrub will end up to be 9.25.

Hope this helps.

~Jurgen</span>
6 0
3 years ago
Read 2 more answers
HELP PLS ‼️The two lines graphed on the coordinate grid each represent an equation.
Umnica [9.8K]

Answer:

y=2/1x+5

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I hope this is what you were asking

8 0
2 years ago
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