2x-4y=32
2x-8y=48
Find the solution of this system of equations.
Sorry I did not mean to type the same question 3 times..
Subtract them so the x's cancel out. Then solve for y, and plug it back in.
To find the solution of the system of equations, we can use the method of substitution or elimination.
Let's use the method of elimination to solve this system.
First, let's manipulate the equations so that the coefficients of one of the variables have the same absolute value but with opposite signs.
Multiplying the first equation by -1, we get:
-2x + 4y = -32
Now, let's subtract the second equation from this new equation:
(-2x + 4y) - (2x - 8y) = -32 - 48
Simplifying the equation gives:
-2x + 4y - 2x + 8y = -80
Combining like terms, we get:
12y = -80
Now, let's solve for y:
Y = -80/12
Simplifying further, we can divide both the numerator and denominator by 4:
Y = -20/3
Now that we have found the value of y, let's substitute it back into one of the original equations to solve for x.
Using the first equation:
2x - 4(-20/3) = 32
Multiplying both sides by 3 to get rid of the fraction, we get:
6x + 80 = 96
Subtracting 80 from both sides:
6x = 16
Dividing both sides by 6:
x = 16/6
Simplifying further, x = 8/3
Therefore, the solution to the system of equations is x = 8/3 and y = -20/3.
To find the solution of this system of equations, you can use the method of substitution or elimination. I will use the method of elimination to explain.
Given equations:
1) 2x - 4y = 32
2) 2x - 8y = 48
To use the elimination method, we need to eliminate one variable to solve for the other. In this case, we can eliminate the x variable by subtracting equation 1 from equation 2.
Subtracting equation 1 from equation 2:
(2x - 8y) - (2x - 4y) = 48 - 32
-8y + 4y = 16
-4y = 16
Dividing both sides of the equation by -4:
y = -4
Now that we have the value of y, we can substitute it back into one of the original equations to solve for x. Let's use equation 1:
2x - 4(-4) = 32
2x + 16 = 32
Subtracting 16 from both sides of the equation:
2x = 16
x = 8
So, the solution to the system of equations is x = 8 and y = -4.