Equation 1: y = -2x + 1
Equation 2: y = 2x - 3
Since both equations already have y isolated, we are able to simply set the right side of both equations equal to each other. Since we know that the value of y must be the same, we can do this.
-2x + 1 = 2x - 3
1 = 4x - 3
4 = 4x
x = 1
Then, we need to plug our value of x back into either of the original two equations and solve for y. I will be plugging x back into equation 2 above.
y = 2x - 3
y = 2(1) - 3
y = 2 - 3
y = -1
Hope this helps!! :)
Answer:the distance to work is 1 mile and you can walk at 4 miles per hour, then you can walk 1 mile in ¼ hr = 15 minutes
Step-by-step explanation:
Dylan,
If the distance to work is 1 mile and you can walk at 4 miles per hour, then you can walk 1 mile in ¼ hr = 15 minutes.
To set up the "equation" think about it this way: (1 mile/ t) = (4 mile/ 1 hr)
so 1/t = 4/1 hr
now multiply both sides by t to get 1 = t·(4/1 hr), next divide both sides by (4/1 hr)
t = 1/(4/ 1 hr) = 1 hr/4 = ¼ hr = 15 min.
Answer:
56 eggs
Step-by-step explanation:
If 
of all eggs are green, 
of all are blue, then
of all eggs are red.
We know that there are 26 red eggs
![26\text{ eggs }-\dfrac{13}{28}\\ \\x\text{ eggs }- 1[=\dfrac{28}{28}]](https://tex.z-dn.net/?f=26%5Ctext%7B%20eggs%20%7D-%5Cdfrac%7B13%7D%7B28%7D%5C%5C%20%5C%5Cx%5Ctext%7B%20eggs%20%7D-%201%5B%3D%5Cdfrac%7B28%7D%7B28%7D%5D)
Make a proportion
![\dfrac{26}{x}=\dfrac{\frac{13}{28}}{1}\\ \\26\cdot 1=x\cdot \dfrac{13}{28}\ [\text{Cross multiply}]\\ \\13x=26\cdot 28\ [\text{Multiply by 28 to get rid of fraction}]\\ \\x=\dfrac{26\cdot 28}{13}\ [\text{Divide by 13 to get x}]\\ \\x=2\cdot 28\\ \\x=56](https://tex.z-dn.net/?f=%5Cdfrac%7B26%7D%7Bx%7D%3D%5Cdfrac%7B%5Cfrac%7B13%7D%7B28%7D%7D%7B1%7D%5C%5C%20%5C%5C26%5Ccdot%201%3Dx%5Ccdot%20%5Cdfrac%7B13%7D%7B28%7D%5C%20%5B%5Ctext%7BCross%20multiply%7D%5D%5C%5C%20%5C%5C13x%3D26%5Ccdot%2028%5C%20%5B%5Ctext%7BMultiply%20by%2028%20to%20get%20rid%20of%20fraction%7D%5D%5C%5C%20%5C%5Cx%3D%5Cdfrac%7B26%5Ccdot%2028%7D%7B13%7D%5C%20%5B%5Ctext%7BDivide%20by%2013%20to%20get%20x%7D%5D%5C%5C%20%5C%5Cx%3D2%5Ccdot%2028%5C%5C%20%5C%5Cx%3D56)
Answer:
The inequality is
2 x - 6 > 6(x -2) +8
To solve the inequality we will first use distributive property with respect to multiplication over subtraction
And then bring constant on one side and variable on another side keeping the inequality maintained
2 x -6 > 6 x -12 + 8
2 x -6 > 6 x - 4
6 x - 2 x< -6+4
4 x < -2
Dividing both sides by 2
x < 
Now i will draw the graph of above function.
