Solve the system of equations by elimination. Express the solution as an ordered pair.
−5x−2y=−12
3x+2y=8
To solve the system of equations by elimination, we will add the two equations together to eliminate the y variable.
The system of equations is:
-5x - 2y = -12 (Equation 1)
3x + 2y = 8 (Equation 2)
By adding Equation 1 and Equation 2 together, we can eliminate the y variable:
(-5x - 2y) + (3x + 2y) = -12 + 8
Simplifying the equation:
-2x = -4
Divide both sides of the equation by -2 to isolate x:
x = 2
Now, substitute the value of x into one of the original equations to solve for y.
Using Equation 1:
-5(2) - 2y = -12
Simplifying the equation:
-10 - 2y = -12
Add 10 to both sides of the equation to isolate y:
-2y = -2
Divide both sides of the equation by -2 to get the value of y:
y = 1
Therefore, the solution to the system of equations is the ordered pair (2, 1).
To solve the system of equations by elimination, we can add the two equations together to eliminate the "y" variable.
First, we'll write the system of equations:
Equation 1: -5x - 2y = -12
Equation 2: 3x + 2y = 8
To eliminate the "y" variable, we'll add Equation 1 and Equation 2:
(-5x - 2y) + (3x + 2y) = -12 + 8
Simplifying the equation, we have:
-5x + 3x - 2y + 2y = -4
-2x = -4
Now, we'll solve for x by dividing both sides of the equation by -2:
-2x / -2 = -4 / -2
x = 2
To find the value of y, we substitute the value of x (which we just found) into one of the original equations. Let's use Equation 1:
-5x - 2y = -12
Substituting x = 2, we get:
-5(2) - 2y = -12
-10 - 2y = -12
To isolate the y term, we'll add 10 to both sides of the equation:
-10 + 10 - 2y = -12 + 10
-2y = -2
Finally, we solve for y by dividing both sides of the equation by -2:
-2y / -2 = -2 / -2
y = 1
Therefore, the solution to the system of equations is (x, y) = (2, 1).
just add the two equations to eliminate y.
-2x = -4
now finish it up
Add the two equations.
-2x = -4
Divide both sides by -2 to find x, then put that value in either original equation to find y.