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julsineya [31]
2 years ago
5

(-2x+y=8) minus (5x-y=6)

Mathematics
2 answers:
Elis [28]2 years ago
8 0
-2x+y - (5x-y) = 8-6 <=>

-2x+y-5x+y = 2 <=>

-7x + 2y = 2
Hitman42 [59]2 years ago
6 0

Answer:-7x+2y=2

Step-by-step explanation:

(-2x+y=8)-(5x-y=6)

(-2x+y=8)> this side change since it’s negative

(-2x+y=8) - (-5x+y=-6)

-7x+2y=2

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Divide both sides by -5
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A father's age is three less than two times the son's age. The difference in their ages is 30 years. Find the son's age.
kkurt [141]

You can set up a systems of equations to solve this problem.

The equation y = 2x-3 represents the father's age where y = The father's age and x = The son's age.

The equation 30=y-x represents the difference between the two ages.

In order to be able to solve a system, the two equations can be in the same form. (They don't need to be it's just easier for me to have them in the same form) One is in standard form (ax+by= c) and the other one is in slope intercept form (y=mx+b where m is the slope and b is the y- intercept).

Lets put the equation y=2x-3 into standard form.

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Now to solve the system.

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6 0
3 years ago
Use long or synthetic division to find the following quotients <br>(x^3+2x^2!22x-45)÷(x+5) ​
svetoff [14.1K]

Answer:

\boxed{\textsf{ The quotient is $\sf x^2-3x-7$ and the remainder is (-10).}}

Step-by-step explanation:

Here we will be using long division method to find the quotient . Here we need to divide (x³+2x²-22x-45) and (x+5) . So lets divide .

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<u>Quotient</u><u> </u>= x² -3x -7

<u>Remainder </u>= (-10)

<h3><u>★</u><u>Hence </u><u>the</u><u> </u><u>quotient</u><u> </u><u>is </u><u>x²</u><u> </u><u>-3x </u><u>-</u><u>7</u><u> </u><u>and </u><u>the</u><u> </u><u>remainder</u><u> </u><u>is </u><u>(</u><u>-</u><u>1</u><u>0</u><u>)</u><u> </u><u>.</u></h3>
7 0
3 years ago
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