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2 years ago

What is algebraic expression for a number increased by 13 is 1,989.

Mathematics

2 answers:

SpyIntel [72]2 years ago

7 0

Let the variable n represent the unknown number

Start with n

$\tt \longrightarrow \: n$

Increased by 13 means add 13 to it

$\tt \longrightarrow \: n + 13$

Is 1989 means it equals 1989

$\tt \longrightarrow \: n + 13 = 1989$

➪ Thus, The final equation is (n+13=1989)

White raven [17]2 years ago

4 0

Answer:

expression: x + 13 = 1989

explanation:

Let the number be x

so when this number is increased " + " by 13, it equals to 1989

processing:

x + 13 = 1989

x = 1989 - 13

x = 1976

The number is 1976.

The algebraic equation used: x + 13 = 1989

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This is a System Of Equations and I'd like it to get solved by the Elimination or Substitution Method.x+2y=83x+5y=8

Sonbull [250]

Answer:

x=133 y=-25

Step-by-step explanation:

I'll do both ways for you. So let's start with Substitution:

With the sub method, you have to set both equations equal to each other by setting them equal to the same variable. Since there is no coefficient in front of both x's in both equations, that variable will be easiest to solve for.

x + 2y = 83 & x + 5y = 8

Solve for x.

x = 83 - 2y & x = 8 - 5y

Once you have solved for x, set each equation equal to one another and solve for y now.

83 - 2y = 8 - 5y

Isolate all variables to one side:

83 = 8 - 3y

Now subtract the 8 to fully isolate the y variable:

75 = -3y

Divide by -3:

-25 = y Now that you have your first variable, plug it into one of the original equations and solve for x.

x + 2(-25) = 83

x - 50 = 83

x = 133

Now for the Elimination method. For this method you need to get rid of a variable by either subtracting/adding each equation together. Again, since you can subtract and x from both equations, you will be left with only the y variable to solve:

Put each equation on top of one another and subtract:

x + 2y = 83

- (x + 5y = 8)

The x's will cancel out:

(x - x) + (2y - 5y) = (83 - 8)

Simplify:

-3y = 75

Solve for y

y = -25

Then, plug y = -25 into one of the original equations:

x + 5(-25) = 8

Solve for x:

x - 125 = 8

x = 133

Hope this helps!

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RideAnS [48]

Answer:

4. 158

Step-by-step explanation:

First let's make things a little simpler and put these arcs in terms of x. We know that the degree measure around the outside of a circle, regardless of its size, is 360. So let's say that arc BC is x. That means that arc BDC is 360 - x. This is because arc BC + arc BDC = 360. Substituting in our x's we have:

x + 360 - x = 360 and

360 = 360. (That's just the proof that putting in our x's as we did does in fact work!)

Following the formula then, we have

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$22=\frac{1}{2}(360-2x)$

Multiply both sides by 2 to get rid of the fraction and get

44 = 360 - 2x

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-316 = -2x

Divide both sides by -2 to get that x = 158

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Answer:

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Explanation:

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What is algebraic expression for a number increased by 13 is 1,989.​

What is algebraic expression for a number increased by 13 is 1,989.