Joe and Marty each mowed a total number of 15 lawns last week and they earned the same amount of money.
What is a linear equation?
It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as the linear equation in one variable.
Joe earns a base amount of $15 and $8 per lawn.
Marty earns a base amount of $45 and $6 per lawn.
Let's suppose they both mow x number of lawns.
Then Joe's total income is given by:
$(15+8x)
And Marty's total income is given by:
$(45+6x)
As they earned the same amount of money, mathematically:
(15+8x) = (45+6x)
15 + 8x - 6x = 45 +6x - 6x (subtract by 6x on both sides)
15 + 2x -15 = 45 -15 (subtract by 15 on both sides)
2x = 30
x = 15 (divide by 2 on both sides)
If we put x = 15 in Joe's total income expression, we get:
15+8×15 ⇒135
If we put x = 15 in Marty's total income expression, we get:
45+6×15 ⇒135
Thus, Joe and Marty each mowed a total number of 15 lawns last week and they earned the same amount of money.
Learn more about the linear equation here:
brainly.com/question/11897796
