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serious [3.7K]
3 years ago
9

IV. Intercepts. Give the intercepts of the following linear equations. 1) 5x + 3y = 8 2) 10x + 6y - 12 = 4 3) 2x – 3y = 5 4) 3x

+ 2y = 1 the giver
Mathematics
1 answer:
rosijanka [135]3 years ago
3 0

Answer:

1)\frac{8}{3}

2)\frac{8}{3}

3)\frac{-5}{3}

4)2

Step-by-step explanation:

1) 5x + 3y = 8

 3y=8-5x

y=\frac{-5}{8} x+\frac{8}{3}

hence intercept is \frac{8}{3}

2) 10x + 6y - 12 = 4

10x + 6y  = 16

6y=16-10x

y=\frac{-10}{6} x+\frac{16}{6}

hence intercept is \frac{8}{3}

3) 2x – 3y = 5

3y=2x-5

y=\frac{2}{3} x+\frac{-5}{3}

hence intercept is \frac{-5}{3}

4) 3x + 2y = 1

2y=-3x+4

y=\frac{-3}{2} x+\frac{4}{2}

hence intercept is 2

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Solve the equation using the order of operations.<br><br> 5+{2×[(5−1)+6]}÷4
creativ13 [48]

Answer:

The order of operations is PEMDAS

First step is to do everything is parenthesis or brackets

5+{2*[(5-1)+6]}/4

{2*[(5-1)+6]}

First you would go 5-1=4, because that is the first equation that is in parenthesis by itself.

{2*[4+6]}

Next you would go 4+6=10, because that is your next smallest bracket

{2*10}

Last you would go 2*10=20

Your equation now looks like this

5+{20}/4

In PEMDAS your next step is exponents, but we don't have any so we go on to the next one which is multiply/division

5+5

You would go 20/4=5

Last step is to add/subtract

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Your final answer would be 10

Hope this helps ;)

Step-by-step explanation:

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3 years ago
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Answer:

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As a function, the equation is:

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Two lines, A and B, are represented by the equations given below!
lara [203]

Answer:

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y=-8,\:x=-4

Thus, option C is true because the point satisfies BOTH equations.

Step-by-step explanation:

Given the system of the equations

\begin{bmatrix}y=x-4\\ y=3x+4\end{bmatrix}

Arrange equation variables for elimination

\begin{bmatrix}y-x=-4\\ y-3x=4\end{bmatrix}

y-3x=4

-

\underline{y-x=-4}

-2x=8

\begin{bmatrix}y-x=-4\\ -2x=8\end{bmatrix}

solve for x

-2x=8

Divide both sides by -2

\frac{-2x}{-2}=\frac{8}{-2}

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The solutions to the system of equations are:

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Thus, option C is true because the point satisfies BOTH equations.

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