<h3>Answer:</h3>
- no
- yes
- no
- yes
- yes
<h3>Explanation:</h3>
The distributive property is useful both for collecting terms and for eliminating parentheses.
1. 3x +1/4 -x +1 1/2 = x(3 -1) +(1/4 +1 2/4) = 2x +1 3/4 ≠ 4x +1 3/4 (no)
2. 2(3x+1) = 2·3x + 2·1 = 6x +2 = 2 +6x (yes)
3. 3(x+1) -(1+x) = (x+1)(3 -1) = 2(x+1) = 2x +2 ≠ 2x +3 (no)
4. 4(x+1)-x-4 = 4x +4 -x -4 = x(4-1) +(4-4) = 3x +0 = 3x (yes)
5. 5.5 +2.1x +3.8x -4.1 = x(2.1 +3.8) +(5.5 -4.1) = 5.9x +1.4 = 1.4 +5.9x (yes)
Answer:
4x - 3y = 2
Step-by-step explanation:
First, let's review what "standard form" signifies: Ax + By = C.
Starting with y = 4/3 * x - 2/3, multiply all three terms by 3 to eliminate the fractions:
3y = 4x - 2
Next, subtract 3y from both sides:
0 = 4x - 3y - 2.
It would be nice (tho' not essential) to have the coefficient of x positive. That is why I've left 4x on the right side and subtracted 3y from both sides.
finally, add 2 to both sides, obtaining 4x - 3y = 2. This is the equation in standard form.
To find the slope, u need to put the equation in y = mx + b form, where m will be ur slope.
2x - 4y = 10 ... subtract 2x from both sides
-4y = -2x + 10...divide both sides by -4
y = (-2/-4)x + (-10/4)
y = 1/2x - 5/2
y = mx + b
y = (1/2)x - 5/2
the slope(m) = 1/2
The answer is equivalent
equivalent meaning equal
