Solve the system of equations.8x–4y=–8x+3y=20(, )
Question
Solve the system of equations.8x–4y=–8x+3y=20(, )
Solution
It seems like there might be a mistake in the way your system of equations is written. It should probably be something like:
8x - 4y = 20 and -8x + 3y = 20
If that's the case, here's how you can solve it:
Step 1: Write down the system of equations:
8x - 4y = 20 -8x + 3y = 20
Step 2: You can add these two equations together:
(8x - 4y) + (-8x + 3y) = 20 + 20 This simplifies to: -1y = 40
Step 3: Solve for y by dividing both sides by -1:
y = 40 / -1 y = -40
Step 4: Substitute y = -40 into the first equation:
8x - 4(-40) = 20 8x + 160 = 20 8x = 20 - 160 8x = -140
Step 5: Solve for x by dividing both sides by 8:
x = -140 / 8 x = -17.5
So the solution to the system of equations is x = -17.5 and y = -40.
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