Y=1/2X+2 AND Y = -1/4X+8

Answer 1

To find the intersection point of these two equations, we can set them equal to each other:

1/2X + 2 = -1/4X + 8

We can simplify this equation by multiplying every term by 4 to eliminate the fractions:

2X + 8 = -X + 32

Now we can move all the X terms to one side and the constant terms to the other side:

2X + X = 32 - 8

Combining like terms, we get:

3X = 24

Dividing both sides by 3, we find:

X = 8

Now we can substitute this value back into either original equation to solve for Y. Let's use the first equation:

Y = (1/2)(8) + 2

Y = 4 + 2

Y = 6

Therefore, the intersection point of these two equations is (8, 6).

Answer 2

Y=3 AND X= -1

Answer 3

In the equation Y = 3, Y is always equal to 3 regardless of the value of X. Therefore, when X = -1, the value of Y is still 3.

So the intersection point of these two equations is (-1, 3).

Answer 4

Y=-1/2X-6 AND Y=7/6X+4

Answer 5

To find the intersection point of these two equations, we can set them equal to each other:

-1/2X - 6 = 7/6X + 4

To eliminate fractions, we can multiply every term by 6:

-3X - 36 = 7X + 24

Now we can move all the X terms to one side and the constant terms to the other side:

-3X - 7X = 24 + 36

Combining like terms, we get:

-10X = 60

Dividing both sides by -10, we find:

X = -6

Now we can substitute this value back into either original equation to solve for Y. Let's use the first equation:

Y = -1/2(-6) - 6

Y = 3 - 6

Y = -3

Therefore, the intersection point of these two equations is (-6, -3).

Answer 6

Find the slope and y-intercept that has infinite solutions to the equation Click Here for Help Video

6
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+
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20
6x+10y=20

The slope would be
.

The y-intercept would be
. (Do not list as a coordinate point.)

Answer 7

To find the slope and y-intercept of the equation 6x + 10y = 20, we need to rewrite it in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

First, let's isolate the y term:

10y = -6x + 20

Now, divide both sides of the equation by 10:

y = (-6/10)x + 2/10

Simplifying:

y = (-3/5)x + 1/5

Comparing this equation to y = mx + b, we can see that the slope, m, is -3/5, and the y-intercept, b, is 1/5.

Answer 8

Find the slope and y-intercept that has infinite solutions to the equation
6X+10Y=20
The slope would be The y-intercept would be____. (Do not list as a coordinate point.)

Answer 9

To find the slope and y-intercept of the equation 6X + 10Y = 20, we need to rewrite it in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

First, let's isolate the y term:
10Y = -6X + 20

Now, divide both sides of the equation by 10:
Y = (-6/10)X + 20/10

Simplifying:
Y = (-3/5)X + 2

Comparing this equation to y = mx + b, we can see that the slope, m, is -3/5, and the y-intercept, b, is 2.

Answer 10

Find the slope and y-intercept that has infinite solutions to the equation
-24x+2y=60
The slope would be____
The y-intercept would be____. (Do not list as a coordinate point.)

Answer 11

To find the slope and y-intercept of the equation -24x + 2y = 60, we need to rewrite it in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

First, let's isolate the y term:
2y = 24x + 60

Now, divide both sides of the equation by 2:
y = 12x + 30

Comparing this equation to y = mx + b, we can see that the slope, m, is 12, and the y-intercept, b, is 30.

Answer 12

Solve the following inequality. Click Here for help Video

-2/6y ≤4

Answer 13

To solve the inequality -2/6y ≤ 4, we need to isolate the variable y.

First, let's multiply both sides of the inequality by 6 to eliminate the fraction:

(-2/6)y * 6 ≤ 4 * 6

Simplifying:

-2y ≤ 24

Next, divide both sides by -2. Since we are dividing by a negative number, the direction of the inequality will change:

(-2y) / -2 ≥ 24 / -2

Simplifying:

y ≥ -12

Therefore, the solution to the inequality is y ≥ -12.

Answer 14

−2(−5x+2)≤3

Answer 15

To solve the inequality, we need to simplify the expression first:

-2(-5x+2) ≤ 3

Distribute the -2 to each term inside the parentheses:

10x - 4 ≤ 3

Now, add 4 to each side of the inequality to isolate the x term:

10x - 4 + 4 ≤ 3 + 4

Simplifying:

10x ≤ 7

Finally, divide both sides of the inequality by 10:

10x / 10 ≤ 7 / 10

Simplifying:

x ≤ 7/10

Therefore, the solution to the inequality is x ≤ 7/10.

Answer 16

Solve the following inequalities.
5x<15

Answer 17

To solve the inequality 5x < 15, we need to isolate the variable x.

First, let's divide both sides of the inequality by 5:

(5x) / 5 < 15 / 5

Simplifying:

x < 3

Therefore, the solution to the inequality is x < 3.

Answer 18

−5y<15

Answer 19

To solve the inequality -5y < 15, we need to isolate the variable y.

First, let's divide both sides of the inequality by -5. Since we are dividing by a negative number, the direction of the inequality will change:

(-5y) / -5 > 15 / -5

Simplifying:

y > -3

Therefore, the solution to the inequality is y > -3.

Answer 20

5z<−15

Answer 21

To solve the inequality 5z < -15, we need to isolate the variable z.

First, let's divide both sides of the inequality by 5. Since we are dividing by a positive number, the direction of the inequality will not change:

(5z) / 5 < -15 / 5

Simplifying:

z < -3

Therefore, the solution to the inequality is z < -3.

Answer 22

Solve the following inequalities
5z<−15

Answer 23

To solve the inequality 5z < -15, we need to isolate the variable z.

First, let's divide both sides of the inequality by 5. Since we are dividing by a positive number, the direction of the inequality will not change:

(5z) / 5 < (-15) / 5

Simplifying:

z < -3

Therefore, the solution to the inequality is z < -3.