5x - 7y =58
y =-x +2
Using the substitution method, replace y in the first equation with the second equation:
5x - 7(-x+2) = 58
Simplify by using the distribution property:
5x - (-7x) - 14 = 58
Simplify by combining like terms:
12x -14 = 58
Add 14 from each side of the equation:
12x = 72
Divide both sides by 12:
X = 72/12
x = 6
Now you have x, replace x in the second equation and solve for y:
y = -x +2
y = -6 +2
y = -4
X = 6, y = -4
Answer:
$1600 invested in 9% fund
$700 invested in 4% fund
Step-by-step explanation:
Let
amount invested in 9% account be "x"
so
amount invested in 4% account would be "2300 - x"
The profit from the account would be the percentage (in decimal) multiplied with the amount invested in that account. So,
<u>Profit in 9% account:</u>
9% = 9/100 = 0.09
0.09 * x
0.09x
<u>Profit in 4% account:</u>
4% = 4/100 = 0.04
0.04(2300-x)
92 - 0.04x
Total profit = 0.09x + 92 - 0.04x
This is equal to 172. We equate this and find x:
![0.09x + 92 - 0.04x=172\\0.05x=172-92\\0.05x=80\\x=1600](https://tex.z-dn.net/?f=0.09x%20%2B%2092%20-%200.04x%3D172%5C%5C0.05x%3D172-92%5C%5C0.05x%3D80%5C%5Cx%3D1600)
Now,
2300 - x = 2300 - 1600 = 700
Hence,
$1600 invested in 9% fund
$700 invested in 4% fund
Simplifying
8.7 = 3.5m + -2.5(5.4 + -6m)
8.7 = 3.5m + (5.4 * -2.5 + -6m * -2.5)
8.7 = 3.5m + (-13.5 + 15m)
Reorder the terms:
8.7 = -13.5 + 3.5m + 15m
Combine like terms: 3.5m + 15m = 18.5m
8.7 = -13.5 + 18.5m
Solving
8.7 = -13.5 + 18.5m
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '-18.5m' to each side of the equation.
8.7 + -18.5m = -13.5 + 18.5m + -18.5m
Combine like terms: 18.5m + -18.5m = 0.0
8.7 + -18.5m = -13.5 + 0.0
8.7 + -18.5m = -13.5
Add '-8.7' to each side of the equation.
8.7 + -8.7 + -18.5m = -13.5 + -8.7
Combine like terms: 8.7 + -8.7 = 0.0
0.0 + -18.5m = -13.5 + -8.7
-18.5m = -13.5 + -8.7
Combine like terms: -13.5 + -8.7 = -22.2
-18.5m = -22.2
Divide each side by '-18.5'.
m = 1.2
Simplifying
m = 1.2
Answer:
put the 4 on to the thing and then find5n
Step-by-step explanation:
over three
put the 4 where the four is to the line and then find 5n and then what is it over 3