Group 'em together
a
b
−
a
+
1
−
b
a
b
−
a
=
a
(
b
−
1
)
Notice that there will be a 1 as without it it'll simply be ab
1
−
b
=
1
(
1
−
b
)
Notice that it doesn't match with the upper one... so we'll change the signs
1
(
1
−
b
)
=
−
1
(
b−
1
)
(try to multiply them now!!
Jot them down in one expression
a
(
b
−
1
)
−
1
(
b
−
1
)
You get!!!!!!
(
a
−
1
)
(
b
−
1
)
Answer:
x=3
Step-by-step explanation:
<em>3</em><em>x</em><em>-</em><em>4</em><em>=</em><em>8</em><em>-</em><em>x</em><em>(</em><em>Group</em><em> </em><em>like</em><em> </em><em>terms</em><em>)</em>
<em>3</em><em>x</em><em>+</em><em>x</em><em>=</em><em>8</em><em>+</em><em>4</em><em>(</em><em>Add</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
<em>4</em><em>x</em><em>=</em><em>1</em><em>2</em><em>(</em><em>After</em><em> </em><em>adding</em><em> </em><em>you</em><em> </em><em>will</em><em> </em><em>proceed </em><em>to</em><em> </em><em>divide</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>4</em><em>)</em>
<em>x</em><em>=</em><em>3</em><em>(</em><em>x</em><em> </em><em>is</em><em> </em><em>3</em><em> </em><em>because</em><em> </em><em>4</em><em> </em><em>can</em><em> </em><em>divide</em><em> </em><em>1</em><em>2</em><em> </em><em>3</em><em> </em><em>times</em><em> </em><em>that's</em><em> </em><em>why</em><em> </em><em>we</em><em> </em><em>have</em><em> </em><em>x</em><em> </em><em>as</em><em> </em><em>equal</em><em> </em><em>to</em><em> </em><em>3</em><em>)</em>
Answer:
Tommy had 56 cents in start and Loren had 7 cents in start.
Step-by-step explanation:
Let,
x be the money Tommy have.
y be the money Loren have.
According to given statement;
Tommy had 8 times more money than Loren.
x = 8y Eqn 1
Parents gave 35 cents to Loren and Tommy spent 14 cents, therefore
x-14=y+35 Eqn 2
Putting x=8y in Eqn 2
Dividing both sides by 7
Putting y=7 in Eqn 1
Hence,
Tommy had 56 cents in start and Loren had 7 cents in start.
Answer:
30 square feet.
Step-by-step explanation:
We have to find the main area of the rectangle to determine the changes.
We know, Area of a rectangle = Length × Width
Given,
Length = 12 feet
Width = 5 feet
Therefore, the area of the rectangle = (12 × 5) Square feet.
The area of the rectangle = 60 square feet.
Now, if the length of the rectangle increased by 25%, the new length would be = 12 feet (12 feet × 25%) = 12 feet + 3 feet = 15 feet.
If the width increased by 20%, the latest width would be = 5 feet + (5 feet × 20%) = 5 feet + 1 foot = 6 feet.
The new area of that rectangle = (15 × 6) square feet = 90 square feet.
The changes of area from the previous rectangle is = (90 - 60) square feet = 30 square feet.
