Answer:
a x=-2
Step-by-step explanation:
2(x-4) = 4(2x + 1)
Distribute
2x-8 = 8x +4
Subtract 2x from each side
2x-2x-8 = 8x-2x +4
-8 = 6x+4
Subtract 4 from each side
-8-4 = 6x+4-4
-12 = 6x
Divide by 6
-12/6 = 6x/6
-2 =x
Answer:
-3
Step-by-step explanation:
Answer:
t > -7/4
Step-by-step explanation:
Step 1: Write out inequality
14 - (9t - 2) < -t + 30
Step 2: Distribute
14 - 9t + 2 < -t + 30
Step 3: Combine like terms
-9t + 16 < -t + 30
Step 4: Add 9t to both sides
16 < 8t + 30
Step 5: Subtract 30 on both sides
-14 < 8t
Step 6: Divide both sides by 8
-7/4 < t
Step 7: Rewrite
t > -7/4
Answer:
x + 3y = -12
Step-by-step explanation:
y = mx + b
m is the slope = rise / run:
rise = 1
run = 3
the line is downhill so its negative
m = - 1 / 3
b is the y intercept which is when the line cross over the y axis: - 4
y = - 1/3x - 4
multiply both sides by 3
3y = -1x - 12
add x to both sides
x + 3y = -12