Nate mowed 40 lawns and Gabe mowed 34 lawns for the equal earn of money. The value of x is 34.
It is a system of an equation in which the highest power of the variable is always 1. It is a combination of infinite points side by side.
Given
Gabe charges $30 to mow a lawn.
Nate charges $25 to mow a lawn.
Their total combined revenue one summer was $2020.
Nate mowed 6 more lawns than Gabe.
Let the number of lawns mowed by Gabe be [tex]\rm x[/tex].
Then the number of lawns mowed by Nate be [tex]\rm x + 6[/tex].
Then the equation will be
[tex]\rm 30x + 25(x+ 6) = 2020[/tex]
On simplifying, we have
[tex]\begin{aligned} \rm 30x + 25x + 150 &= 2020\\\\\rm 55x &= 1870\\\\\rm x &= 34\end{aligned}[/tex]
Thus, Nate mowed 40 lawns and Gabe mowed 34 lawns for the equal earn of money. The value of x is 34.
More about the linear system link is given below.
https://brainly.com/question/20379472
