3m + 1 = 10 this is a ixl question and i need the answer it’s inequalities and equations 7 grade

9514 1404 393

  m = 3

Step-by-step explanation:

Notice what has been done to the variable. It has been multiplied by 3, then 1 is added to the product.

We solve an equation like this by undoing those operations, in the reverse order. First, we undo the addition of +1 by adding -1 (the opposite of +1) to both sides of the equation.

  3m + 1 - 1 = 10 - 1

  3m = 9 . . . . . . . . . simplify

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Now, we undo the multiplication by 3 by multiplying by the "multiplicative inverse" or reciprocal, 1/3. This is the same as dividing by 3.

  (1/3)(3m) = (1/3)(9)

As before, we do this to both sides of the equation.

  m = 3 . . . . . . . . . simplify

The solution is m = 3.

The rule for equations is that you must do the same operation to both sides of the equation in order for it to remain valid. (The same is true for inequalities, with a special rule for multiplication or division by a negative number. Doing that reverses the comparison symbol: < ⇔ > or ≤ ⇔ ≥.)

d: (13,-1)

step-by-step explanation:

we know the starting point is (1,5)

the ending point is (x,y)   (cristians house)

the total distance is 6 units (5: 1)  

the fast food restaurant is at (11,0) and is 5/6ths of the way from the starting point to the ending point

ending minus starting point * 5/6   is how far they went

(x-1) *5/6, (y-5) * 5/6

we then need to add the starting point to determine the location

5/6(x-1) + 1, (y-5) * 5/6 + 5

this equals the fast food location of 11,0

setting the x locations equal

5/6 (x-1) +1 =11

subtracting 1 from each side

5/6 (x-1) +1-1 =11-1

5/6(x-1) =10

multiplying by 6/5 on each side

6/5*5/6(x-1) = 10*6/5

x-1 =12

add 1 to each side

x-1+1 =12+1

x=13

do the same for the y coordinate

(y-5) * 5/6 + 5 =0

subtract 5 from each side

(y-5) * 5/6 + 5-5 =0-5

5/6 (y-5) = -5

multiplying by 6/5 on each side

6/5*5/6 (y-5) = -5 *6/5

y-5 = -6

add 5 to each side

y-5+5 = -6+5

y=-1

the ending point , or the coordinates of cristians house is

(13,-1)