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3 years ago

What is the answer to 13u − 11u = 10

Mathematics

2 answers:

Phantasy [73]3 years ago

8 0

Answer:

$\Huge\boxed{\mathsf{U=5}}}$

Step-by-step explanation:

Isolate u on one side of the equation.

13u-11u=2u (Subtract elements to the numbers from left to right).

2u=10

2u/2=10/2 (Divide by 2 from both sides.)

10/2 (Solve & Simplify.)

10/2=5

U=5

Therefore, the correct answer is u=5.

Anarel [89]3 years ago

6 0

Answer:

Step-by-step explanation:

$13u-11u=0\qquad\text{combine like terms}\\\\(13-11)u=0\\\\2u=0\qquad\text{divide both sides by 2}\\\\\dfrac{2u}{2}=\dfrac{0}{2}\\\\u=0$

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2 years ago

What’s the answer to this

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2 years ago

I need answer on this graphing va substitution.Problem 7 I tried to solve it but not sure that’s correct

Bond [772]

Given the system of equations:

$\begin{gathered} 2x+9y=27 \\ x-3y=-24 \end{gathered}$

To solve it by substitution, follow the steps below.

Step 1: Solve one linear equation for x in terms of y.

Let's choose the second equation. To solve it for x, add 3y to each side of the equations.

$\begin{gathered} x-3y=-24 \\ x-3y+3y=-24+3y \\ x=-24+3y \end{gathered}$

Step 2: Substitute the expression found for x in the first equation.

$\begin{gathered} 2x+9y=27 \\ 2\cdot(-24+3y)+9y=27 \\ -48+6y+9y=27 \\ -48+15y=27 \end{gathered}$

Step 3: Isolate y in the equation found in step 2.

To do it, first, add 48 to both sides.

$\begin{gathered} -48+15y=27 \\ -48+15y+48=27+48 \\ 15y=75 \end{gathered}$

Then, divide both sides by 15.

$\begin{gathered} \frac{15y}{15}=\frac{75}{15} \\ y=5 \end{gathered}$

Step 4: Substitute y by 5 in the relation found in step 1 to find x.

$\begin{gathered} x=-24+3y \\ x=-24+3\cdot5 \\ x=-24+15 \\ x=-9 \end{gathered}$

Answer:

x = -9

y = 5

or (-9, 5)

Also, you can graph the lines by choosing two points from each equation, according to the picture below.

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11 months ago