4x - 5y = -15
y = -3x + 22
Plug in your y= equation into the y variable in the other equation
4x - 5 (y) = -15
^^
y = (-3x + 22) = -15
4x - 5 (-3x + 22) = -15
Distribute
4x + 15x - 110 = -15
Combine like terms and add 110 over to -15
19x = 95
Then, divide the whole equation by 19
x = 5
Then, plug in your x into your y= equation
y = -3 (5) + 22
y = -15 + 22
y = 7
<em><u>x = 5</u></em>
<em><u>y = 7</u></em>
<em><u>(5, 7)</u></em>
C
A slope of
means that for every time x goes up by 3, y goes up by 4.
28 - 22 = 6 which is 2 times 3.
while 10-2 = 8 which is 2 times 4.
This fits the slope.
Assuming that all measurements are the same, as the formula for volume of a box is simply
S^3. Make this expression equal 90 cubic inches. Then take the cube root to solve for s. The value of s are your measurements for the length width and height of the box.
S = 4.48 in.
