Simplify Equation: Simplify the equation by distributing the 2 into (2x). Calculation: 2(2x) = 4x. New equation: 4x + 5y = 63.Identify Equation Type: Identify the type of equation. Reasoning: The equation is in the form Ax + By = C, which is a standard form of a linear equation.Determine Graph Type: Determine the graph type. Reasoning: Linear equations graph as straight lines.Find Y-Intercept: Find the y-intercept by setting x = 0. Calculation: 4(0) + 5y = 63; 5y = 63; y = 63 / 5; y = 12.6.Find X-Intercept: Find the x-intercept by setting y = 0. Calculation: 4x + 5(0) = 63; 4x = 63; x = 63 / 4; x = 15.75.

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Solve: $2$ ( $2$ x)+ $5$ y= $63$

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Math Problems

Grade 8

Describe the graph of a linear equation

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Q. Solve:

2

(

2

x)+

5

63

Simplify Equation: Simplify the equation by distributing the $2$ into $(2x)$ . $\newline$ Calculation: $2(2x) = 4x$ . $\newline$ New equation: $4x + 5y = 63$ .
Identify Equation Type: Identify the type of equation. $\newline$ Reasoning: The equation is in the form $Ax + By = C$ , which is a standard form of a linear equation.
Determine Graph Type: Determine the graph type. $\newline$ Reasoning: Linear equations graph as straight lines.
Find Y-Intercept: Find the y-intercept by setting $x = 0$ . $\newline$ Calculation: $4(0) + 5y = 63$ ; $5y = 63$ ; $y = \frac{63}{5}$ ; $y = 12.6$ .
Find X-Intercept: Find the x-intercept by setting $y = 0$ . Calculation: $4x + 5(0) = 63$ ; $4x = 63$ ; $x = \frac{63}{4}$ ; $x = 15.75$ .