Solve by elimination method-thanks fro checking my work
2x + 3y= 2 multiply this equation by 2= 4x + 6y = 4
4x-2y = -28
4x + 6y = 4
-4x -2y = -28
8y = 32
y = 4
2x + 3(4) = 2
2x + 12 = 2
2x + 2-12
2x = -10
x = -5
solution = (-5,4)
you're on the right track but when you tried to subtract the 2 eq you only subtracted the first term, but left the others' signs the same.
It should look like this:
4x+6y=4
-4x+2y=28 now add the two eq together and redo the work you did before. if you have more questions just ask!
when I wrote the -4x -2y = 28
I forgot to put the next step which was -4x + 2y = 28
but isn't the rest of my steps the same still because when I subtracted those they became 8y = 32 and the rest Thanks for responding-I'm not sure if this isn't right still-I think the answer is correct minus the one step I forgot to write
I think I see where you mistook what I wrote-I'm doing the elimination method and subtracting the equations so the new equations were
4x + 6y = 4 after I multiplied first equation by 2
minus 4x -2y = -28 and so the 4x becomes -, the -2y becomes positive and the -28 becomes positive, correct
Thank you
You're right. I'm sorry. When I saw the missed step, I stopped looking at the rest of the work. You are correct.
To solve the given system of equations using the elimination method, follow these steps:
Step 1: Multiply the first equation by a constant that will make the coefficient of either x or y the same as that in the second equation. In this case, you multiplied the first equation by 2, resulting in:
4x + 6y = 4
Step 2: Subtract the second equation from the modified first equation. This will eliminate one variable, allowing you to solve for the remaining variable. Subtracting the second equation from the modified first equation gives:
4x + 6y - (-4x - 2y) = 4 - (-28)
Simplifying this equation gives:
4x + 6y + 4x + 2y = 4 + 28
Simplifying further gives:
8x + 8y = 32
Step 3: Simplify or combine like terms if necessary. In this case, the equation is already simplified.
Step 4: Solve for one variable. In this case, we want to solve for y. Isolating y gives:
8y = 32
Dividing both sides of the equation by 8 gives:
y = 4
Step 5: Substitute the value of y into one of the original equations and solve for x. Using the first equation:
2x + 3y = 2
Substituting y = 4 gives:
2x + 3(4) = 2
Simplifying gives:
2x + 12 = 2
Subtracting 12 from both sides of the equation gives:
2x = -10
Dividing both sides of the equation by 2 gives:
x = -5
Therefore, the solution to the system of equations is x = -5 and y = 4, which can be written as the ordered pair (-5, 4).