Answer:
here are two possible solutions
Step-by-step explanation:
Answer:
129 points
Step-by-step explanation:
Let L and C represent the scores of Luke and Caleb, respectively.
L = 2C -15 . . . . . Luke scored 15 less than twice the number Caleb did
L +C = 201 . . . . . they scored 201 points altogether
Add twice the second equation to the first:
2(L +C) + (L) = 2(201) + (2C -15)
3L +2C = 387 +2C . . . . simplify
3L = 387 . . . . . . . . . . . . .subtract 2C
L = 387/3 = 129 . . . . . . .divide by 3
Luke scored 129 points.
Answer:
500.61
Step-by-step explanation:
5 multiplied by 100 = 500
1/10 = 0.1, So 6 multiplied by 0.1 = 0.6
1/100 = 0.01, So 1 multiplied by 1 = 0.01
500 + 0.6 + 0.01 = 500.61
9514 1404 393
Answer:
(x, y) = (-1, -3)
Step-by-step explanation:
The equations are "consistent" and "not dependent." This will be the case whenever the ratios of x- and y-coefficients are different.
__
We can solve this by "elimination" by multiplying the first equation by -4 and adding the result of the second equation being multiplied by 7.
-4(2x -7y) +7(7x -4y) = -4(19) +7(5)
-8x +28y +49x -28y = -76 +35 . . . . eliminate parentheses
41x = -41 . . . . . simplify
x = -1 . . . . . . . divide by 41
Using the second equation, we find y to be ...
(7x -5)/4 = y = (7(-1) -5)/4 = -12/4 = -3
So, the solution is (x, y) = (-1, -3).
Slope intercept form is y = mx + b
So if you start with 9x - 7y = -7, the first thing you need to do is move the 9x to the other side of the equation by subtracting it from both sides.
9x - 7y = -7
-9x -9x
Now you have -7y = -9x -7
For the equation to be in slope intercept form now you should divide every term by the number in front of your y. In this case divide every term by -7
-<u>7y</u> = <u>-9x</u> <u>-7</u>
-7 -7 -7
That leaves you with: y = 9x/7 + 1
