Answer:
x=2, y=-3
Step-by-step explanation:
This type of problems is called a system of equations, or simultaneous equations.
When solving simultaneous equations, you need to first make sure you have two unknown terms of the same number but different signs - this is so one unknown cancels out because we can only solve when there's one unknown. We already have this ('2y' and '-2y'). Now we just add the 'x's, the 'y's and the numbers:
2x+2y=-2
3x-2y=12
(2x+3x)+(2y-2y)=(-2+12)
5x=10
x=2
Now that we know the value of x, use it to find y:
2x+2y=-2
2(2)+2y=-2
4+2y=-2
2y=-6
y=-3
The student does not make an error
Answer:
D
Step-by-step explanation:
the slope is 12/10 which simplifies to 6/5 and the y intercept is 2
Answer:
The error is in the second line.
x = -1
Step-by-step explanation:
When solving for "x", you are trying to isolate it, or move everything else to the other side. You may have learned that <em>"what you do to one side, you do to the other"</em> .
2x + 18 = 16
2x = 34 18 was added to the right side, but not to the other.
If you add 18 on both sides, then the equation would be:
2x + 36 = 34 "x" is not being isolated.
Instead, you should subtract 18 from 16.
<u>Correct solutions steps</u>:
2x + 18 = 16
2x + 18 - 18 = 16 - 18 Subtract 18 from both sides to cancel out 18
2x = -2
2x/2 = -2/2 Divide both sides by 2
x = -1 Final answer
Answer:
$22
Step-by-step explanation:
2x5.00=$10 4x3.00=$12
10+12=22