solve the system of equations.\n2.5y + 3x = 27\n5x - 2.5y = 5\nwhat equation is the result of adding the two…

Explanation:

Step1: Add the two equations

Add $2.5y + 3x=27$ and $5x - 2.5y = 5$. $(2.5y+3x)+(5x - 2.5y)=27 + 5$. Combining like - terms: $2.5y-2.5y+3x + 5x=32$, which simplifies to $8x=32$.

Step2: Solve for $x$

Divide both sides of $8x = 32$ by 8. $x=\frac{32}{8}=4$.

Step3: Substitute $x = 4$ into the first equation

Substitute $x = 4$ into $2.5y+3x = 27$. $2.5y+3\times4=27$. $2.5y+12 = 27$.

Step4: Solve for $y$

Subtract 12 from both sides: $2.5y=27 - 12=15$. Divide both sides by 2.5: $y=\frac{15}{2.5}=6$.

Answer:

The result of adding the two equations is $8x = 32$. The solution to the system is $x = 4,y = 6$.