Ask question

Ask question

All categories

3 years ago

7

Which point is NOT on the graph of the equation 5x - 2y = 6? Please explain how to solve questions like this :)

1 answer:

Rashid [163]3 years ago

7 0

Since <span><span>5x</span><span>5x</span></span> does not contain the variable to solve for, move it to the right side of the equation by subtracting <span><span>5x</span><span>5x</span></span> from both sides.

<span><span><span><span>−2</span>y</span>=<span><span><span>−5</span>x</span>+6</span></span><span><span><span>-2</span>y</span>=<span><span><span>-5</span>x</span>+6</span></span></span>Divide each term by <span><span>−2</span><span>-2</span></span> and simplify.
Divide each term in <span><span><span><span>−2</span>y</span>=<span><span><span>−5</span>x</span>+6</span></span><span><span><span>-2</span>y</span>=<span><span><span>-5</span>x</span>+6</span></span></span> by <span><span>−2</span><span>-2</span></span>.<span><span><span>−<span><span>2y</span><span>−2</span></span></span>=<span><span>−<span><span>5x</span><span>−2</span></span></span>+<span>6<span>−2</span></span></span></span><span><span>-<span><span>2y</span><span>-2</span></span></span>=<span><span>-<span><span>5x</span><span>-2</span></span></span>+<span>6<span>-2

</span></span></span></span></span>Simplify the left side of the equation by cancelling the common factors.
Reduce the expression by cancelling the common factors.
Factor <span>22</span> out of <span><span>−2</span><span>-2</span></span>.<span><span><span>−<span><span>2<span>(y)</span></span><span>2<span>(<span>−1</span>)</span></span></span></span>=<span><span>−<span><span>5x</span><span>−2</span></span></span>+<span>6<span>−2</span></span></span></span><span><span>-<span><span>2y</span><span>2<span>-1</span></span></span></span>=<span><span>-<span><span>5x</span><span>-2</span></span></span>+<span>6<span>-2</span></span></span></span></span>Cancel the common factor.<span><span><span>−<span><span>2y</span><span>2⋅<span>−1</span></span></span></span>=<span><span>−<span><span>5x</span><span>−2</span></span></span>+<span>6<span>−2</span></span></span></span><span><span>-<span><span>2y</span><span>2⋅<span>-1</span></span></span></span>=<span><span>-<span><span>5x</span><span>-2</span></span></span>+<span>6<span>-2</span></span></span></span></span>Rewrite the expression.<span><span><span>−<span>y<span>−1</span></span></span>=<span><span>−<span><span>5x</span><span>−2</span></span></span>+<span>6<span>−2</span></span></span></span><span><span>-<span>y<span>-1</span></span></span>=<span><span>-<span><span>5x</span><span>-2</span></span></span>+<span>6<span>-2</span></span></span></span></span>Move the negative one from the denominator of <span><span>y<span>−1</span></span><span>y<span>-1</span></span></span>.<span><span><span>−<span>(<span><span>−1</span>⋅y</span>)</span></span>=<span><span>−<span><span>5x</span><span>−2</span></span></span>+<span>6<span>−2</span></span></span></span><span><span>-<span><span>-1</span>⋅y</span></span>=<span><span>-<span><span>5x</span><span>-2</span></span></span>+<span>6<span>-2</span></span></span></span></span>Simplify the expression.
Multiply <span><span>−1</span><span>-1</span></span> by <span>yy</span> to get <span><span><span>−1</span>y</span><span><span>-1</span>y</span></span>.<span><span><span>−<span>(<span><span>−1</span>y</span>)</span></span>=<span><span>−<span><span>5x</span><span>−2</span></span></span>+<span>6<span>−2</span></span></span></span><span><span>-<span><span>-1</span>y</span></span>=<span><span>-<span><span>5x</span><span>-2</span></span></span>+<span>6<span>-2</span></span></span></span></span>Rewrite <span><span><span>−1</span>y</span><span><span>-1</span>y</span></span> as <span><span>−y</span><span>-y</span></span>.<span><span>y=<span><span>−<span><span>5x</span><span>−2</span></span></span>+<span>6<span>−2</span></span></span></span><span>y=<span><span>-<span><span>5x</span><span>-2</span></span></span>+<span>6<span>-2</span></span></span></span></span>Simplify each term.
Move the negative in front of the fraction.<span><span>y=<span><span><span>5x</span>2</span>+<span>6<span>−2</span></span></span></span><span>y=<span><span><span>5x</span>2</span>+<span>6<span>-2</span></span></span></span></span>Simplify <span><span>−<span>−<span><span>5x</span>2</span></span></span><span>-<span>-<span><span>5x</span>2</span></span></span></span>.
Multiply <span><span>−1</span><span>-1</span></span> by <span><span>−1</span><span>-1</span></span> to get <span>11</span>.<span><span>y=<span><span>1<span>(<span><span>5x</span>2</span>)</span></span>+<span>6<span>−2</span></span></span></span><span>y=<span><span>1<span><span>5x</span>2</span></span>+<span>6<span>-2</span></span></span></span></span>Multiply <span><span><span>5x</span>2</span><span><span>5x</span>2</span></span> by <span>11</span> to get <span><span><span>5x</span>2</span><span><span>5x</span>2</span></span>.<span><span>y=<span><span><span>5x</span>2</span>+<span>6<span>−2</span></span></span></span><span>y=<span><span><span>5x</span>2</span>+<span>6<span>-2</span></span></span></span></span>Divide <span>66</span> by <span><span>−2</span><span>-2</span></span> to get <span><span>−3</span><span>-3</span></span>.<span><span>y=<span><span><span>5x</span>2</span><span>−3</span></span></span><span>y=<span><span><span>5x</span>2</span><span>-3</span></span></span></span>Use the slope-intercept form to find the slope and y-intercept.
The slope-intercept form is <span><span>y=<span><span>mx</span>+b</span></span><span>y=<span><span>mx</span>+b</span></span></span>, where <span>mm</span> is the slope and <span>bb</span> is the y-intercept.<span><span>y=<span><span>mx</span>+b</span></span><span>y=<span><span>mx</span>+b</span></span></span>Find the values of <span>mm</span> and <span>bb</span> using the form <span><span>y=<span><span>mx</span>+b</span></span><span>y=<span><span>mx</span>+b</span></span></span>.<span><span>m=<span>52</span></span><span>m=<span>52</span></span></span><span><span>b=<span>−3</span></span><span>b=<span>-3</span></span></span>The slope of the line is the value of <span>mm</span>, and the y-intercept is the value of <span>bb</span>.Slope: <span><span>52</span><span>52</span></span>Y-Intercept: <span>−<span>3</span></span>

You might be interested in

tangare [24]

Answer: $499.00

<u>Step-by-step explanation:</u>

Wholesale cost + (20% of Wholesale cost) = Selling price

--> 1.20 × Wholesale cost = Selling price

Let x represent the Wholesale cost

1.2x = 598.80

<u>÷1.2 </u> <u>÷ 1.2 </u>

x = 499.00

6 0

2 years ago

If the diameter of a circle is 5, what is its circumference?

DanielleElmas [232]

Multiply the diameter by PI which is 3.14 so that means the circumference would be 15.7.

4 0

3 years ago

What is the equation of the line that passes through the point (4,-2)(4,−2) and has a slope of -2−2?

Sonbull [250]

i believe the answer is y = -2x + 6

3 0

2 years ago

Read 2 more answers

Please help I am confused.

nignag [31]

Answer:

9 cm, C

11 cm, B

14 cm A

Step-by-step explanation:

7 0

2 years ago

Write an equation in point slope form that represents the line that passes through the point (-2,-1) and has a slope of 5. Then,

jeka57 [31]

Point-slope equation=y+1=5(x+2)
slope intercept form=5x+9

8 0

3 years ago