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3 years ago

Solve the system of linear equations by elimination. 12x - 7y = -2 8x + 11y = 30

Mathematics

1 answer:

Sergio039 [100]3 years ago

7 0

Answers: (y = 2) and (x = 1)

Steps:

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If l an m are parallel. Find the value of x and y

Svetllana [295]

(8y + 17) = (6x - 7)

(3x -29) + (6x -7) = 180
9x -36 = 180
9x = 216
x = 24

(8y + 17) = (6x - 7)
8y + 17 = 6(24) - 7
8y + 17 = 144 -7
8y = 120
y = 15

I hope this helps!! (and hope it’s correct hahah :))

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2 years ago

The school wishes to purchase 2500 pens and have discovered that 3 stores sell the same model pen.Which store has the best buy ?

8_murik_8 [283]

$Store\ A: \frac{0.5}{15}=0.0333\ cents\ per\ pen \\ \\ Store\ B: \frac{1.7}{50}=0.034\ cents\ per\ pen \\ \\ Store\ C: \frac{0.9}{30} =0.03\ cents\ per\ pen \\ \\ Store\ C\ is\ the\ cheapest.$

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3 years ago

What is the rate of change and initial value for the linear relation that includes the points shown in the table?

Wittaler [7]

Answer:

Initial value $12$ , rate of change: $-2$

Step-by-step explanation:

Step 1

Find the rate of change

we know that

In a linear equation the rate of change is equal to the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

$A(1,10)\ B(2,8)$

Substitute the values

$m=\frac{8-10}{2-1}$

$m=-2$ ----> rate of change

Step 2

Find the initial value

The equation of the line into slope-point form is equal to

$y-y1=m(x-x1)$

Substitute

$y-10=-2(x-1)$

$y=-2x+2+10$ $y=-2x+12$

The initial value is the value of y when the value of x is equal to zero (is the y-intercept)

$y=-2*0+12=12$ ----> initial value

7 0

2 years ago

Read 2 more answers

Make x the subject of m=n + x/p

marshall27 [118]

Answer:

$\boxed{x = p(m - n)}$

Step-by-step explanation:

$= > m = n + \frac{x}{p} \\ \\ = > m = (n \times \frac{p}{p} ) + \frac{x}{p} \\ \\ = > m = \frac{pn}{p} + \frac{x}{p} \\ \\ = > m = \frac{pn + x}{p} \\ \\ = > mp = pn + x \\ \\ = > x + pn = pm \\ \\ = > x = pm - pn \\ \\ = > x = p(m - n)$