Algebra Examples

$4 y - 1 = 3$

Step 1

Find the x-intercepts.

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Step 1.1

Solve the equation for $y$ .

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Step 1.1.1

Move all terms not containing $y$ to the right side of the equation.

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Step 1.1.1.1

Add $1$ to both sides of the equation.

$4 y = 3 + 1$

Step 1.1.1.2

Add $3$ and $1$ .

$4 y = 4$

Step 1.1.2

Divide each term in $4 y = 4$ by $4$ and simplify.

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Step 1.1.2.1

Divide each term in $4 y = 4$ by $4$ .

$\frac{4 y}{4} = \frac{4}{4}$

Step 1.1.2.2

Simplify the left side.

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Step 1.1.2.2.1

Cancel the common factor of $4$ .

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Step 1.1.2.2.1.1

Cancel the common factor.

$\frac{4 y}{4} = \frac{4}{4}$

Step 1.1.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{4}{4}$

Step 1.1.2.3

Simplify the right side.

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Step 1.1.2.3.1

Divide $4$ by $4$ .

$y = 1$

Step 1.2

Since $y = 1$ is a horizontal line, the x-intercept(s) is equal to the value of $y$ .

x-intercept(s): $None$

Step 2

Since $y = 1$ is a horizontal line, the y-intercept(s) is equal to the value of $y$ .

y-intercept(s): $1$

Step 3

List the intersections.

x-intercept(s): $None$

y-intercept(s): $1$

Step 4