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3 years ago

Find the solution to the system of equations.

Mathematics

2 answers:

MariettaO [177]3 years ago

8 0

The answer is B : x=1, y=-1, z=0

sdas [7]3 years ago

6 0

B. X=1,y=-1, z=0 is the answer

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Write the equation of the line passing through the points (-4,-1) and (2,8)

klio [65]

<h3>Explanation:</h3>

Calculate the slope with two given coordinate points by using rise over run.

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Let these points

$\begin{cases}(x_1, y_1) = ( - 4, - 1) \\ (x_2, y_2) = ( 2, 8) \end{cases}$

$m = \frac{8 - ( - 1)}{2 - ( - 4)} \\ m = \frac{8 + 1}{2 + 4} \Longrightarrow \frac{9}{6} \Longrightarrow \frac{3}{2} \\ m = \frac{3}{2}$

Slope-Intercept

$y = mx + b \\ m = slope \\ b = y - intercept$

Substitute the value of m in the equation.

$y = \frac{3}{2} x + b$

Substitute any coordinate points that are given or part of the graph in the equation.

$(x_, y) = ( - 4, - 1)$

$- 1 = \frac{3}{2} ( - 4) + b$

Solve the equation for b-term.

$- 1 = \frac{3}{ \cancel{2}} ( \cancel{ - 4}) + b\\ - 1 = 3( - 2) + b \\ - 1 = - 6 + b \\ - 1 + 6 = b \\ 5 = b$

Rewrite the equation by substituting the value of b in the equation.

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

<h3>Answer</h3>

$\large \boxed{y = \frac{3}{2} x + 5}$

If you have any questions related to the answer, feel free to ask via comment.

7 0

3 years ago

Which equation can be used to find 30 percent of 600

agasfer [191]

A/b *100
For example,
30/600.
30/600=0.05
0.05*100=5%

5 0

3 years ago

PLEASE HELP ANSWER FAST I WILL GIVE BRAINLIEST!!!!!

bija089 [108]

Answer:

Take the number of weeks as x

12x = 544 - 100

x =444/12

x = 37

Thus it would take her 37 weeks to buy her a laptop

6 0

3 years ago

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Can you help me with these too? its for a geometry final practice plisss

nikklg [1K]

Answer:

C. 57°

Step-by-step explanation:

All triangles have a sum of 180°.

m∠D + m∠E + m∠F = 180°

35° + m∠E + 88° = 180°

123° + m∠E = 180°

m∠E = 57°

5 0

3 years ago

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Triple the difference of 6 less than a number

Allisa [31]

Answer:

3(x-6)

Step-by-step explanation:

6 0

3 years ago