-3
1) y = 2x
2) y - x = 5 therefore y = 5 + x
Substituting for y in the first equation gives :-
5 + x = 2x : 5 = x
As y = 2x then y = 2 x 5 = 10
Yes and it works out that x = 3 and y = 4
(2,-2)
2x-3y=13
how do you use the substitution method for this problem 2x-3y=-2 4x+y=24
Solve this system of equation using substitution 2x plus 6y equals 24 and 3x-2x equals 24 ?Improved Answer:2x+6y = 243x-2x = 24 => x =24Substitute the value of x into the top equation to find the value of y:48+6y = 246y = 24-486y = -24y = -4So: x = 24 and y = -4
Yes and it works out that x = 3 and y = 4
(2,-2)
2x-3y=13
6x+7y=-6 3(-2x-3y=2) +________ -2y=0 => y=0 Therefore x=-1
To solve this system of equations using the elimination method, we need to eliminate one variable by adding or subtracting the two equations. By looking at the equations given (2y-2x-8 = 0 and 3y-18-3x = 0), we can choose to eliminate either the x or y variable. Let's choose to eliminate the x variable: Multiply the first equation by 3 and the second equation by 2 to make the coefficients of x the same: 6y - 6x - 24 = 0 6y - 36 - 6x = 0 Now we can subtract the second equation from the first equation to eliminate x: (6y - 6x - 24) - (6y - 36 - 6x) = 0 Simplify to get -12 = 0, which is a false statement. Therefore, the system of equations is inconsistent and has no solution.
how do you use the substitution method for this problem 2x-3y=-2 4x+y=24
10x 2x divide 2x equals?
If that's -5x, the answer is (x - 3)(2x + 1) x = 3, -1/2 If that's +5x, the answer is (x + 3)(2x - 1) x = -3, 1/2
Solve this system of equation using substitution 2x plus 6y equals 24 and 3x-2x equals 24 ?Improved Answer:2x+6y = 243x-2x = 24 => x =24Substitute the value of x into the top equation to find the value of y:48+6y = 246y = 24-486y = -24y = -4So: x = 24 and y = -4
Solving by the elimination method gives: x = 3 and y = 2
4
y=16 x= -4