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3 years ago

R + 4 when r = 13 Can u explain it

Mathematics

1 answer:

bogdanovich [222]3 years ago

6 0

Answer: r + 4

Step-by-step explanation:

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In order to solve the following system of equations by addition, which of the

Pavlova-9 [17]

Answer:

Multiply the top equation by -3 and the bottom equation by 2

Step-by-step explanation:

Given system of equations:

$\begin{cases}4x-2y=7\\3x-3y=15 \end{cases}$

To solve the given system of equations by addition, make one of the variables in both equations sum to zero. To do this, the chosen variable must have the same coefficient, but it should be negative in one equation and positive in the other, so that when the two equations are added together, the variable is eliminated.

To eliminate the variable y:

Multiply the top equation by -3 to make the coefficient of the y variable 6:

$\implies -3(4x-2y=7) \implies -12x+6y=-21$

Multiply the bottom equation by 2 to make the coefficient of the y variable -6:

$\implies 2(3x-3y=15) \implies 6x-6y=30$

Add the two equations together to eliminate y:

$\begin{array}{l r r}& -12x+6y= &-21\\+ & 6x-6y= & 30\\\cline{1-3}& -6x\phantom{))))))} = & 9\end{array}$

Solve for x:

$\implies -6x=9$

$\implies x=-\dfrac{9}{6}=-\dfrac{3}{2}$

Substitute the found value of x into one of the equations and solve for y:

$\implies 3\left(-\dfrac{3}{2}\right)-3y=15$

$\implies -\dfrac{9}{2}-3y=15$

$\implies -3y=\dfrac{39}{2}$

$\implies y=-\dfrac{39}{2 \cdot 3}$

$\implies y=-\dfrac{13}{2}$

Learn more about systems of equations here:

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3 0

2 years ago

Read 2 more answers

Can someone help me with this please

makvit [3.9K]

Rise over run
mx+b
1/3x-1

6 0

2 years ago

The area of the triangle below is 10.6 square centimeters. What is the length of the

CaHeK987 [17]

Answer:

6 cm

Step-by-step explanation:

The area of a triangle is $\frac{bh}{2} = A$ , where b = base, h = height, and A = area. In this case, we're given the height as 4 cm and the area as 6 cm^2.