8v + 8b = 240
4v + b = 54....multiply by -2
-------------------
8v + 8b = 240
-8v - 2b = - 108 (result of multiplying by -2)
------------------add
6b = 132
b = 132/6
b = 22 <== buses hold 22 students
4v + b = 54
4v + 22 = 54
4v = 54 - 22
4v = 32
v = 32/4
v = 8 <== vans hold 8 students
Answer: x=-10
Step-by-step explanation:
Let's solve your equation step-by-step.
6.2x+8=3(1.4x−4)
Step 1: Simplify both sides of the equation.
6.2x+8=3(1.4x−4)
6.2x+8=(3)(1.4x)+(3)(−4)(Distribute)
6.2x+8=4.2x+−12
6.2x+8=4.2x−12
Step 2: Subtract 4.2x from both sides.
6.2x+8−4.2x=4.2x−12−4.2x
2x+8=−12
Step 3: Subtract 8 from both sides.
2x+8−8=−12−8
2x=−20
Step 4: Divide both sides by 2.
2x2=−202
When we are multiplying our 10's, we are basically adding another 10 each time. Since the number grid is in rows of 10, adding another 10 is the same as moving down one row, which makes a straight column.
