Solve using the elimination method. Show your work.

14x+18y=54
-4x-14y=42
HELP please

following the method I showed you in the problem with

18x+6y=78
12x+54y=-48

where do you get stuck?

im actually not sure on any of it. And when i tried to rework the problem to see how u got ur answer like y=13. Am i suppose to combine all the terms and then do the math?

I got confused on the last part of it

To solve the system of equations using the elimination method, we need to eliminate one variable by combining the two equations. Here's the step-by-step process:

Step 1: Multiply both sides of the second equation by 7 to make the coefficients of the x term in both equations equal:

-4x - 14y = 42
Multiply by 7:
(-4x - 14y) * 7 = 42 * 7
-28x - 98y = 294

Step 2: Add the two equations together:

14x + 18y = 54
+ (-28x - 98y = 294)
_______________________
-14x - 80y = 348

The x term cancels out because -28x + 14x = 0x. We're left with the equation: -80y = 348.

Step 3: Solve the resulting equation for y:

-80y = 348
Divide both sides by -80:
y = -348/80
y = -4.35

Step 4: Substitute the value of y back into one of the original equations to find the value of x. Let's use the first equation:

14x + 18y = 54
Substitute y = -4.35:
14x + 18(-4.35) = 54
14x - 78.3 = 54
14x = 54 + 78.3
14x = 132.3
Divide both sides by 14:
x = 132.3/14
x = 9.45

So, the solution to the system of equations is x = 9.45 and y = -4.35.