PLEASE HELP!!!!!!!!!!
Solve by the elimination method
6x - 9y= 7.5
7y - 2x= -4.5
Please help!!!
I have shown you how to do two of these already.
It is time for you to make an effort and apply what you have learned.
6x+y=29 -2x+y=-17
To solve the system of equations using the elimination method, you need to eliminate one of the variables by adding or subtracting the equations. Here's how you can do it:
1. Multiply the second equation by 3 to match the coefficients of the x-term with the first equation:
3 * (7y - 2x) = 3 * (-4.5)
This simplifies to:
21y - 6x = -13.5
2. Now, you have two equations with coefficients in front of the x-term. We can eliminate the x-term by adding the two equations together:
(6x - 9y) + (21y - 6x) = 7.5 - 13.5
When we simplify this, the x-terms cancel out:
-9y + 21y = -6
Combining like terms, we get:
12y = -6
3. Solve for y by dividing both sides of the equation by 12:
y = -6/12
Simplifying further, we have:
y = -0.5
4. Substitute the value of y back into one of the original equations to solve for x. Let's use the first equation:
6x - 9(-0.5) = 7.5
Simplifying, we get:
6x + 4.5 = 7.5
5. Subtract 4.5 from both sides of the equation to isolate the x-term:
6x = 7.5 - 4.5
Simplifying, we have:
6x = 3
6. Solve for x by dividing both sides of the equation by 6:
x = 3/6
Then, simplifying further, we get:
x = 0.5
So, the solution to the given system of equations is x = 0.5 and y = -0.5.