Answer:
x = -6.5 y= 3.75
Step-by-step explanation:
Add angle 1 and 2 since they are both alternate interior angles
6x + y - 4 = x - 9y + 1
- x + 9y - x + 9y Subtract x and add 9y to both sides
5x + 10y - 4 = 1
+ 4 + 4 Add 4 to both sides
5x + 10y = 5
-5x - 5x Subtract 5x from both sides
10y = -5x + 5 Divide both sides by 10 to solve for y
y = -1/2x + 1/2
Use this equation to solve for x in the original equations
6x + (1/2x + 1/2) -4 = x - 9(-1/2x +1) - 1
6.5x - 3.5 = x + 4.5x - 9 - 1 Solve in the parentheses
6.5x - 3.5 = 5.5x - 10 Solve the right side of the equation
+ 3.5 + 3.5 Add 3.5 to both sides
6.5x = 5.5x - 6.5
- 5.5x - 5.5x Subtract 5.5x from both sides
x = -6.5
Use the new value of x to solve for y
6(-6.5) + y -4 = -6.5 -9y + 1
-43 + y = -5.5 -9y Simplify both sides
+43 + 43 Add 43 to both sides
y = 37.5 - 9y
+ 9y + 9y Add 9y to both sides
10y = 37.5
y = 3.75
Answer:
"the original amount of the loan"
Step-by-step explanation:
x value would be the time in months and y value would be the loan amount that is left.
The y-intercept is basically the point where x is 0. So, we can say the y-intercept would be when time is 0.
<em>That's basically when the loan started and the y-value represents the full loan amount., which is $22,000.</em>
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The correct answer is third option -- "the original amount of the loan".
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F(x) = 3x -1
g(x) = x+2
so
(f+g)(x) = 3x -1 + x+2
(f+g)(x) = 4x + 1
answer is C. 4x + 1
Get common denominators, and solve for each expression
7/5 - 3/4 = 28/20 - 15/20 = 13/20
1/4 + 2/5 = 5/20 + 8/20 = 13/20
These two fractions are equivalent