<u>Corrected Question</u>
Matt makes $80 a month mowing lawns. His friend James also mows lawns, but he makes x dollars less per month than Matt does. James makes a total of $816 per year. How much less each month does James make than Matt? Solve the linear equation to find the value for x
. Remember that x represents how much less per month James makes than Matt
Equation: 12(80 – x) = 816
Answer:
x=$12
Step-by-step explanation:
To solve the given equation
12(80 – x) = 816
First, we distribute:
960-12x=816
Collect like terms
12x=960-816
12x=144
Divide both sides by 12
x=12
Therefore, James makes $12 less than Matt every Month.
Answer: y=-6/5x+3
Step-by-step explanation:
To find the equation of the line that passes through the points, you want to first find the slope by using the formula 
, then solve for the y-intercept.
Now that we have the slope, we can plug in a given point and solve for the y-intercept.
15=-6/5(-10)+b [multiply]
15=12+b [subtract both sides by 12]
b=3
Now that we have the y-intercept, we know the equation is y=-6/5x+3.
Answer:
{x,y} = {25/9,23/9}
Step-by-step explanation:
// Solve equation [2] for the variable x
[2] x = -4y + 13
// Plug this in for variable x in equation [1]
[1] 5•(-4y+13) + 2y = 19
[1] - 18y = -46
// Solve equation [1] for the variable y
[1] 18y = 46
[1] y = 23/9
// By now we know this much :
x = -4y+13
y = 23/9
// Use the y value to solve for x
15 Short Answer Questions
( =45 points)
5 Multiple Choice Questions
( = 5 points)
