How would I solve this? I'm totally stumped and I need some help.
Solve by elimination 3x-2y=-4 and under it is 7x-4y=-6
Any clue?
Thanks!
Meant to put Algebra.. darn these things.
To solve the given system of equations using the elimination method, follow these steps:
Step 1: Multiply the equations to make the coefficients of one of the variables (x or y) in both equations equal and opposite.
In this case, let's multiply the first equation by 2 and the second equation by 4 to make the coefficient of 'y' equal and opposite in both equations.
Equation 1: 3x - 2y = -4
Multiply by 2: 6x - 4y = -8
Equation 2: 7x - 4y = -6
Multiply by 4: 28x - 16y = -24
Now, we have two equations with equal and opposite coefficients for 'y'.
Step 2: Add or subtract the equations to eliminate one variable. In this case, subtract the second equation from the first equation.
6x - 4y - (28x - 16y) = -8 - (-24)
This simplifies to:
-22x + 12y = 16
So, the simplified equation after elimination is -22x + 12y = 16.
Now, we can move on to solving this new equation using any desired method, such as substitution or graphing, to find the values of 'x' and 'y'.