question 9 of 10\nsolve the following system of equations. express your answer as an ordered pair in the…

question 9 of 10\nsolve the following system of equations. express your answer as an ordered pair in the format (a,b), with no spaces between the numbers or symbols.\n3x + 4y = 16\n-4x - 3y = -19

question 9 of 10\nsolve the following system of equations. express your answer as an ordered pair in the format (a,b), with no spaces between the numbers or symbols.\n3x + 4y = 16\n-4x - 3y = -19

Answer

Explanation:

Step1: Eliminate one variable

Multiply the first equation (3x + 4y=16) by (3) and the second equation (-4x - 3y=-19) by (4). The first - multiplied equation: (9x + 12y = 48) The second - multiplied equation: (-16x-12y=-76) Add the two new equations together: ((9x + 12y)+(-16x - 12y)=48+( - 76)) [ \begin{align*} 9x+12y-16x - 12y&=48 - 76\ -7x&=-28 \end{align*} ] Solve for (x): (x = 4)

Step2: Substitute (x) into one of the original equations

Substitute (x = 4) into the first equation (3x + 4y=16). We get (3\times4+4y=16), which simplifies to (12 + 4y=16). Subtract (12) from both sides: (4y=16 - 12), so (4y = 4). Solve for (y): (y = 1)

Answer:

((4,1))