What is the expression for "the difference between five times a number and twice that number"?

1 answer:

5 0

The answer to this question is 5x - 2x. Let x be the unknown variable and five times a number is equal to 5x then subtract it by the twice of that number which is 2x. In solving problems like this you have to let a certain variable represent the unknown.

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Classify the system of equations 2x + y - 7 = 0 1/3 x + y - 4 = 0

KATRIN_1 [288]

Answer:

Step-by-step explanation:

The equations are:

2x + y - 7 = 0

and

1/3x + y -4 = 0

Let's rearrange the first to get:

y = -2x + 7

Putting this into the 2nd equation we get:

$\frac{1}{3}x + y -4 = 0\\\frac{1}{3}x + (-2x+7) -4 = 0\\\frac{1}{3}x-2x+7-4=0\\\frac{5}{3}x=3\\x=\frac{9}{5}$

Now, y would be:

$y=-2x+7\\y=-2(\frac{9}{5})+7\\y=3\frac{2}{5}$

Solving the equation we see that there is 1 unique solution with 1 x value and another y values. That means, when graphing, the lines would intersect.

Answer choice B is right.

<u>Note:</u> Coincident means the same line and parallel means there would be no solution when solving

3 0

3 years ago

20 points!!!!

leva [86]

Answer:

6/7

Step-by-step explanation:

Product of slope of perpendicular line = -1

Slope = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\$