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2 years ago

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Which ordered pair is the solution to the system of equations? {x+5y=−15 y=1/5x+1

1 answer:

Kipish [7]2 years ago

4 0

<span>x+5y=−15
y=1/5x+1

An easy way to do this is by substitution. The second equation is already set to y, so just plug that into the first equation.
x + 5(1/5x + 1) = -15
x + x + 5 = -15
2x + 5 = -15
2x = -20
x = -10

Now that you've got the x, plug that into one of the equations to find y.
(-10) + 5y = -15
5y = -5
y = -1

So the ordered pair is (-10, -1).

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3 years ago

What is the solution to this system of equations y=x-2 y=-0.5x+4

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Answer:

Substitute y=x-2y=x−2 into y=-0.5x+4y=−0.5x+4.

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Step-by-step explanation:

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SashulF [63]

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Step-by-step explanation:

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2 years ago

One fifth of a number plus three times the number is equal to twice the number plus 42. What is the number

borishaifa [10]

Equation to find number's value: $\frac{1}{5}n + 3n = 2n + 42$

Number's value: n = 35

Explanation:

Let n be the unknown number for this problem.

One fifth of a number is the same as $\frac{1}{5}n$ .

Three times the number is the same as 3n.

Twice the number plus 42 is the same as 2n + 42.

So, using the information we've gathered so far, we can create the equation that will provide us with n's value.

Equation: $\frac{1}{5}n + 3n = 2n + 42$

We can use this equation to find n's value.

You can subtract 2n from both sides to get the equation $\frac{1}{5}n + n = 42$ , which is the same thing as the equation we were using.

Now add n and $\frac{1}{5}n$ together to get $1\frac{1}{5}n$ .

After you do this, your equation should look like $1\frac{1}{5}n=42$ .

Now divide both sides by $1\frac{1}{5}$ to get n's value.

n = 35

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