Question

Define a variable using let statements, set up an equation, then solve. On their last history test Eric scored five more than twice the points that his friend Josh did. if they scored 134 points altogether find Eric's score

Answer 1

`\begin{gathered} \text{Let E be Eric's score hence} \\ E=5+2J \\ \text{where J is Josh's score. Now, they score 134 point, this means that} \\ E+J=134 \\ \text{Therefore, we must solve these system of equsitons} \end{gathered}`
`\begin{gathered} \text{Solving by substitution:} \\ By\text{ substituying the 1st equation into the 2nd, one has} \\ (5+2J)+J=134 \\ 5+2J+J=134 \\ 3J+5=134 \\ 3J=134-5 \\ 3J=129 \\ J=(129)/(3) \\ J=43 \end{gathered}`

`\text{Therefore. Eric score 91 points and Josh 43}`