Question

# Solve each problem by writing and solving a one-variable equation. In the first three innings of a baseball game, the home team scored some runs. In t

Equations and inequalities
Solve each problem by writing and solving a one-variable equation.
In the first three innings of a baseball game, the home team scored some runs. In the rest of the game, they Scored 5 runs more than the number of runs scored in the first three innings. If the home team scored 9 runs in all, how many runs did they score during the first three innings? How many runs did they score in the remainder of the game?
Let x = the runs scored in the first three innings

2021-02-23
Home team scored 9 runs in all
Let,
x=the runs scored in the first three innings
so,
$$\displaystyle\Rightarrow{x}+{x}+{5}={9}$$
$$\displaystyle\Rightarrow{2}{x}+{5}={9}$$
$$\displaystyle\Rightarrow{2}{x}={9}-{5}$$
$$\displaystyle\Rightarrow{2}{x}={4}$$
$$\displaystyle\Rightarrow{x}=\frac{{4}}{{2}}$$
$$\displaystyle\Rightarrow{x}={2}$$