what is the x - value of the solution to the system of equations?\n5x + 4y = 8\n2x - 3y = 17\n-3\n-2\n4\n5

Explanation:

Step1: Eliminate y - variable

Multiply the first equation $5x + 4y=8$ by 3 and the second equation $2x - 3y = 17$ by 4. The first - multiplied equation: $3(5x + 4y)=3\times8$, which simplifies to $15x+12y = 24$. The second - multiplied equation: $4(2x - 3y)=4\times17$, which simplifies to $8x-12y = 68$.

Step2: Add the two new equations

$(15x + 12y)+(8x-12y)=24 + 68$. Combining like - terms, we get $15x+8x+12y - 12y=92$, so $23x=92$.

Step3: Solve for x

Divide both sides of the equation $23x = 92$ by 23. $x=\frac{92}{23}=4$.

Answer:

C. 4