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2 years ago

Classify the system correctly Y = 5x +2 10x - 2y = 12

Mathematics

2 answers:

givi [52]2 years ago

7 0

<h3>Answer: Inconsistent System</h3>

Explanation:

If you solve 10x-2y = 12 for y, you get

10x = 12+2y

10x-12 = 2y

2y = 10x-12

y = (10x-12)/2

y = 5x-6

The equation 10x-2y = 12 is the same as y = 5x-6.

The system of equations consists of y = 5x+2 and y = 5x-6. Both have the same slope (m = 5) but different y intercepts (2 and -6). This means the graphed lines will be parallel. Parallel lines never intersect, so there are no solutions. A system is considered inconsistent if it has no solutions.

s344n2d4d5 [400]2 years ago

5 0

Answer:

It's a simultaneous equation because it as two solution

Step-by-step explanation:

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2 years ago

Write an equation of the line that passes through (18,2) and is parallel to the line 3y-x=-12 .

uysha [10]

Answer:

$y = \frac{1}{3}x-4$

Step-by-step explanation:

<u>Step 1: Solve for y in the first equation</u>

$3y - x = -12$

$3y - x + x = -12 + x$

$\frac{3y}{3} = \frac{x}{3} - \frac{12}{3}$

$y = \frac{1}{3}x - 4$

<u>Step 2: Determine the important aspects</u>

We know that our line is parallel to the other line that has a slope of 1/3 which means that our slope is also going to be 1/3. We also know that our line crosses the point (18, 2) which means that we can use the point slope form to determine our equation

Point Slope Form → $(y-y_1) = m(x - x_1)$

<u>Step 3: Plug in the information and solve</u>

$(y-2) = \frac{1}{3}(x - 18)$

$y - 2 = \frac{1}{3}x - 6$

$y - 2 + 2 = \frac{1}{3}x - 6 + 2$

$y = \frac{1}{3}x-4$

Answer: $y = \frac{1}{3}x-4$

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1 year ago