Answer:
Simplifying
(20m + 3) + -1(7m + -5) = 0
Reorder the terms:
(3 + 20m) + -1(7m + -5) = 0
Remove parenthesis around (3 + 20m)
3 + 20m + -1(7m + -5) = 0
Reorder the terms:
3 + 20m + -1(-5 + 7m) = 0
3 + 20m + (-5 * -1 + 7m * -1) = 0
3 + 20m + (5 + -7m) = 0
Reorder the terms:
3 + 5 + 20m + -7m = 0
Combine like terms: 3 + 5 = 8
8 + 20m + -7m = 0
Combine like terms: 20m + -7m = 13m
8 + 13m = 0
Solving
8 + 13m = 0
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + 13m = 0 + -8
Combine like terms: 8 + -8 = 0
0 + 13m = 0 + -8
13m = 0 + -8
Combine like terms: 0 + -8 = -8
13m = -8
Divide each side by '13'.
m = -0.6153846154
Simplifying
m = -0.6153846154Step-by-step explanation:
Step-by-step explanation:
6:36 = 6/36 = 1/6
3:18 = 3/18 = 1/6
therefore this ratios are equivalents...
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What is the question? Please give more details.
Answer:
The solution to the system of equations is:
x = 2, and y = -1
Explanation:
Given the pair of equations:
4x + 5y = 3 ..........................................................................(1)
2x + 3y = 1............................................................................(2)
To solve this by elimination:
Multiply equation (2) by 2, to eliminate x
Equation (2) becomes
4x + 6y = 2 .........................................................................(3)
Subtract equation (1) from (3)
4x - 4x + 6y - 5y = 2 - 3
y = -1 ....................................................................................(4)
Multiply equation (1) by 3 and equation (2) by 5 to eliminate y
Equation (1) becomes
12x + 15y = 9 .......................................................................(5)
Equation (2) becomes
10x + 15y = 5 ........................................................................(6)
Subtract equation (6) from (5)
12x - 10x + 15y - 15y = 9 - 5
2x = 4
Divide both sides by 2
x = 4/2 = 2 ............................................................................(7)
From equations (7) and (4)
x = 2, and y = -1