RS = 8y +4, ST = 5y + 7, and RT = 115.What is the value of y?

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asked Sep 18, 2023 212k views

1 Answer

Shawn Wernig · Answer 1 · 2023-09-22T20:36:07+0000

Step-by-step explanation:

1.The first thing we must do is use a suitable method that allows us to find the value of y for the two equations of the line

2. The correct and most appropriate method is the matching method.

The exercise is as follows:

$\begin{gathered} RS\text{ }=8y+4\text{ } \\ ST=5y\text{ }+7 \\ RS=ST\text{ } \\ 8y+4=5y+7 \\ 8y-5y=7-4 \\ 3y=3 \\ y=(3)/(3) \\ \textcolor{#FF7968}{y=1} \\ \text{\textcolor{#FF7968}{the answer is y}}\textcolor{#FF7968}{=1}\text{\textcolor{#FF7968}{ }}\textcolor{#FF7968}{as}\text{\textcolor{#FF7968}{ a whole number or y}}\textcolor{#FF7968}{=\frac{3}{3\text{ }}}\text{\textcolor{#FF7968}{ as a }}\textcolor{#FF7968}{fractional}\text{\textcolor{#FF7968}{ number}} \end{gathered}$

RS = 8y +4, ST = 5y + 7, and RT = 115.What is the value of y?

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