Solve 7x + 9 = 16

The solution of 7x + 9 = 16 is x = 1.

7x + 9 = 16\ \Rightarrow\ x = 1

Explain it step by step in chat Make a short video of it

The lines y = 7x + 9 and y = 16 meet at x = 1. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

1
The goal is to get x alone. Undo the operations in the opposite order: first the addition, then the multiplication.
$7x + 9 = 16$
2
Subtract 9 from both sides:
$7x + 9 - 9 = 16 - 9 \ \Rightarrow\ 7x = 7$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{7}{7} \ \Rightarrow\ x = 1$
4
Check: put x = 1 back into the equation.
$7\cdot1 + 9 = 7 + 9 = 16 \checkmark$

LaTeX source of the formulas on this page

\[ 7x + 9 = 16\ \Rightarrow\ x = 1 \]
\[ 7x + 9 = 16 \]
\[ 7x + 9 - 9 = 16 - 9 \ \Rightarrow\ 7x = 7 \]
\[ \frac{7x}{7} = \frac{7}{7} \ \Rightarrow\ x = 1 \]
\[ 7\cdot1 + 9 = 7 + 9 = 16 \checkmark \]

Trying values of x in 7x + 9 = 16

x	7x + 9	Equals 16?
-1	2	no
0	9	no
1	16	yes
2	23	no
3	30	no

Questions

What is x in 7x + 9 = 16?

The solution of 7x + 9 = 16 is x = 1.

How do you solve 7x + 9 = 16?

Subtract 9 from both sides to get 7x = 7, then divide both sides by 7 to get x = 1.

How do I check the answer?

Replace x by 1: 7(1) + 9 = 16, which is 16.

Solve 7x + 9 = 16

How to work it out

Trying values of x in 7x + 9 = 16

Questions

Similar equations