Answer:
x = 1
y = -3/2
Step-by-step explanation:
Step 1: Arrange the equations with like terms in column.
Step 2: You want 1 set of coefficients that are opposites. This problem already has opposites: -2y and +2y.
Step 3: Solve for x.
4x-2y=7
3x+2y=0
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7x = 7
x = 1
Step 4: Substitute the value of x and solve for y.
4(1)-2y=7
4-2y=7
-2y=7-4
-2y=3
y=-3/2
Answer: 3/10
Step-by-step explanation:
Take the derivative of
to get
. Set that equal to 0 to find the critical points of the function. The critical points is when the slope is either 0 or undefined.
Now do:

There are quite a few more steps to actually find the minimum, but for this example you can automatically assume its a minimum because it is the only critical point of the function. Ill show you these extra steps tho.
Plug in two numbers into the derivative. One that is less than 3/10 and one that is greater than 3/10. The numbers 0 and 1 are fine. When x = 0, the function is -6. When x = 1, the function is +14. A switch from negative to positive indicates a minimum value
............................
Answer:
there are no graphs
Step-by-step explanation:
but the slope is -2/1
4/15
Multiple the numerator by numerator, and denominator by denominator, then simplify