Answer:
(5,-2)
Explanation:
Elimination is a method of solving a system. When there are 2 variables, the goal is to have one variable "disappear." This is achieved by having a variable with opposite coefficients (the number in front of the variable). Sometimes, you have to multiply the equations to get the numbers to be opposites.
In this example, all of the first equation was multiplied by 2 and all of the second equation was multiplied by 3. The result is that the first equation has a 6x and the second equation has a -6x. If you add them together, -6x+6x=0, which is the goal. Now, you can solve for y.
6x+10y=10
-6x-24y=18 Add the 2 equations together using like terms. The x's are
added together, the y's are added together, and the
constants are added together.
-14y=28 As previously mentioned, 6x+-6x=0. 10y-24y=-14y (adding
a negative is the same as subtracting a positive). 10+18=28.
y=-2 To get y alone, divide by -14 on both sides. y=-2.
Now, you need to find x. You can do this by replacing each of the y's in one of the original equations with -2.
3x+5(-2)=5 Substitute the y. Don't forget parentheses!
3x-10=5 5*-2=-10.
3x=15 Add 10 to each side. 10+5=15
x=5 Divide by 3 on each side.
The final goal was to find an (x,y) pair. x is 5 and y is -2. Therefore, your answer is (5,-2)