Question

7x + 7 = 6x + 4 + x + 3 is there a solution

Answer 1

this equation is always true, whatever the value of x

Explanation:

7x + 7 = 6x + 4 + x + 3 is there a solution

7x + 7 = 6x + 4 + x + 3

7x - 6x - x = 4 + 3 - 7

0 = 0

this equation is always true, whatever the value of x

ex:

for x = 2

7 x 2 + 7 = 6 x 2 + 4 + 2 + 3

21 = 21

for x = 3

7 x 3 + 7 = 6 x 3 + 4 + 3 + 3

28 = 28

Answer 2

Infinite solutions

Big idea:

To solve this equation, isolate x.

Solution:

Given equation:

`\bigstar\quad\bf{7x+7=6x+4+x+3}`

Start by combining the like terms.

`\bigstar\quad\bf{7x+7=6x+x+4+3}`

`\bigstar\quad\bf{7x+7=7x+7}`

Subtract 7 from both sides.

`\bigstar\quad\bf{7x=7x+0}`

Subtract 7x from both sides.

`\bigstar\quad\bf{0=0}`

This equation has infinite solutions.