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$2x+3y=100, 5y-25=5$

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Describe the graph of a linear equation

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Q.

2x+3y=100, 5y-25=5

Identify Equations: Identify the system of equations to solve. $\newline$ We have two equations: $2x + 3y = 100$ and $5y - 25 = 5$ . $\newline$ We will solve this system using the substitution or elimination method.
Solve Second Equation: Solve the second equation for $y$ .
$5y - 25 = 5$
Add $25$ to both sides: $5y = 5 + 25$
Divide both sides by $5$ : $y = 30 / 5$
Simplify: $y = 6$
Substitute and Calculate: Substitute $y = 6$ into the first equation. $2x + 3(6) = 100$ Calculate: $2x + 18 = 100$ Subtract $18$ from both sides: $2x = 100 - 18$ Simplify: $2x = 82$
Solve for x: Solve for x. $\newline$ Divide both sides by $2$ : $x = \frac{82}{2}$ $\newline$ Simplify: $x = 41$
Check Solution: Check the solution in both original equations. $\newline$ First equation: $2(41) + 3(6) = 100$ $\newline$ Calculate: $82 + 18 = 100$ $\newline$ Verify: $100 = 100$

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