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SAT Linear Equations in One Variable Question 55 | Free SAT Prep | Aniko

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Question 55·Easy·Linear Equations in One Variable

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If $5y - 7 = 18$ , what is the value of $10y + 3$ ?

Your answer

(Express the answer as an integer)

For linear-equation questions that then ask for the value of another expression in terms of the same variable, first solve the given equation carefully (undo additions/subtractions, then undo multiplications/divisions) to find the variable, and only then substitute that value into the requested expression. Work step by step, keep track of signs, and always confirm you are plugging into the exact expression the question asks about, which helps avoid small but costly errors.

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Use the given equation first

Before you can find $10y + 3$ , you need to know the value of $y$ . Use the equation $5y - 7 = 18$ to solve for $y$ .

Undo the subtraction

In $5y - 7 = 18$ , what number can you add to both sides to get rid of the $-7$ and isolate $5y$ ?

Finish solving for $y$ and then substitute

Once you have $5y$ by itself, divide to find $y$ . Then plug that value of $y$ into $10y + 3$ and simplify step by step.

Desmos Guide

Compute the value directly

In a new expression line, type 10*((18+7)/5)+3 and press Enter. The number that Desmos outputs is the value of $10y + 3$ when $y$ satisfies $5y - 7 = 18$ .

Step-by-step Explanation

Isolate the term with $y$

Start with the equation:

5y - 7 = 18

Add 7 to both sides to move the $-7$ :

5y = 18 + 7

So:

5y = 25

Solve for $y$

Now divide both sides of $5y = 25$ by 5 to get $y$ :

y = \dfrac{25}{5}

So $y = 5$ .

Substitute $y$ into the new expression

We want the value of $10y + 3$ . Substitute $y = 5$ into this expression:

10y + 3 = 10(5) + 3

Simplify the expression

First multiply:

10(5) = 50

Then add 3:

50 + 3 = 53

So, the value of $10y + 3$ is 53.

Strategy

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Step-by-step Explanation

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Step-by-step Explanation