Answer:
The numbers are 6 and 36
Step-by-step explanation:
Let the two unknown numbers be x and y.
x + y = 42
y is 6 times x. Lets replace y with 6x.
x + 6x = 42
Add like terms.
7x = 42
We want to get x by itself. Since x is being multiplied by 7, we need to divide it by 7. We also need to divide the other side of the equation by 7.
[tex]\frac{7x}{7}[/tex] = [tex]\frac{42}{7}[/tex]
The two sevens on the left side cancel each other out, and we are just left with x. Now we just need to do the division on the right side.
x = 6
Now that we know that x = 6, we can plug in 6 to our original equation.
6 + y = 42
We need to get y by itself. Move 6 to the right side. Remember, 'change side, change sign.'
y = 42 - 6
y = 36
Now we have our two numbers, 6 and 36.
6 + 36 = 42
