Respuesta :
SOLUTION:
Step 1:
In this question, we are given the following:
Solve the following equations.
Express your answer as an ordered pair in the format (a,b) with no spaces between the numbers and symbols:
[tex]\begin{gathered} \text{2x + 7y = -1 -- equ 1} \\ 4\text{ x - 3y = -19 -equ 2} \end{gathered}[/tex]Step 2:
We multiply equation 1 by 2, so we have that:
[tex]\begin{gathered} 4\text{ x + 14y = -2 -- equation 3} \\ 4\text{ x - 3y = -19 -- equation 4} \end{gathered}[/tex]Then, we evaluate equation 3 minus equation 4, we have that:
[tex]\begin{gathered} 4x\text{ - 4x + 14y -(-3y) = -2 -(-19)} \\ 14y\text{ + 3y = -2 + 19} \\ 17y\text{ = 17} \\ \text{Divide both sides by 17, we have that:} \\ y\text{ =}\frac{17}{17} \\ y\text{ = 1} \end{gathered}[/tex]Next, we put the value of y = 1 in equation 1, we have that:
[tex]\begin{gathered} 2x+7y\text{ = -1} \\ 2x\text{ + 7 (1) = -1} \\ 2x\text{ + 7 = -1} \\ 2x\text{ = -1 - 7} \\ 2x\text{ = -8} \\ \text{Divide both sides by 2, we have that:} \\ x\text{ =}\frac{-8}{2} \\ x\text{ = -4} \end{gathered}[/tex]CONCLUSION:
In ordered pair, the value of:
[tex](x,\text{ y ) = ( - 4, 1)}[/tex]