To determine if the ordered pair $(4,3)$ is a solution to the equation $2x + 5y = 26$, we can substitute $x = 4$ and $y = 3$ into the equation and check if both sides are equal.

Given equation: $2x + 5y = 26$

Substitute $x = 4$ and $y = 3$: $2(4) + 5(3) = 26$ $8 + 15 = 26$ $23 \neq 26$

Since $23$ does not equal $26$, the ordered pair $(4,3)$ is not a solution to the equation.

Final Answer:

$(4,3)$ is not a solution.

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Related Questions

1. What steps can you take to verify if any ordered pair is a solution to an equation?
2. How can you determine if an equation has multiple solutions or only one?
3. What does it mean for an ordered pair to be a solution to a system of equations?
4. How do you solve for $y$ in terms of $x$ for the equation $2x + 5y = 26$?
5. What is the graphical interpretation of a solution to a linear equation?

Tip

When testing an ordered pair in an equation, always substitute both values and simplify each side to check for equality.