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3 years ago

Solve this system of equations by graphing. First graph the equations, and then type the solution.

Mathematics

1 answer:

stealth61 [152]3 years ago

5 0

Answer:

The solution is the point (1,-4)

Step-by-step explanation:

we have

$y=-3x-1$ ----> equation A

$y=-2x-2$ ----> equation B

we know that

The solution of the system of equations by graphing is the intersection point both graphs

using a graphing tool

The intersection point is (1,-4)

see the attached figure

therefore

The solution is the point (1,-4)

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Theo made a donation to a charity. His grandfather agreed to add$4.00 to Theo's donation amount and then donate half of the sum.

lisov135 [29]

Answer:

The needed equation is: $4.25 =( \frac{p+4}{2} )$

The amount of Theo's donation = $ (4.5)

Step-by-step explanation:

Let us assume the amount of Theo's donation = $ p

Now, his grandfather added $4 to the donation.

So, the New amount = Theo's amount + Grandfather's share

= $p + $ 4 = $ (4 +p)

Again, the half of the total amount = $(\frac{4 +p}{2})$

So, the amount donated to the charity = $(\frac{4 +p}{2})$

But according to the question, amount donated = $4.25

$\implies 4.25 =( \frac{p+4}{2} )\\\implies 4.25 \times 2 = p+ 4\\\implies p + 4 = 8.5\\\implies p = 8.5 - 4 = 4.5\\\implies p = 4.5$

Hence, the amount of Theo's donation = $ p = $ (4.5)

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