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Solve by calculating tor $x$ $4x+3y=25$ and $ex+6y=26$

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Solve two-step linear inequalities

Full solution

Q. Solve by calculating tor

x

4x+3y=25

and

ex+6y=26

Multiply by $4$ : First, let's multiply the second equation by $4$ to make the $x$ coefficients match. $4(x + 6y) = 4(26)$ $4x + 24y = 104$
Update the system: Now we have the system: $\newline$ $4x + 3y = 25$ $\newline$ $4x + 24y = 104$
Eliminate $x$ : Subtract the first equation from the second to eliminate $x$ . $\$4x + 24y$ - $4x + 3y$ = $104$ - $25$ \) $24y - 3y = 79$ $21y = 79$
Solve for y: Divide both sides by $21$ to solve for y. $\newline$ $y = \frac{79}{21}$ $\newline$ $y = 3.7619\ldots$
Substitute $y$ into equation: Now substitute $y$ back into one of the original equations to solve for $x$ . Let's use the first equation. $\newline$ $4x + 3(3.7619...) = 25$ $\newline$ $4x + 11.2857... = 25$
Isolate $4x$ : Subtract $11.2857\ldots$ from both sides to isolate $4x$ . $\newline$ $4x = 25 - 11.2857\ldots$ $\newline$ $4x = 13.7143\ldots$
Solve for x: Divide both sides by $4$ to solve for x. $\newline$ $x = \frac{13.7143\ldots}{4}$ $\newline$ $x = 3.4286\ldots$

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