Question

(Lesson 11.4) Solve the linear system model by multiplying first. (1 point)7. Which system of equations generates two lines that intersect at the point (6,2)? Select one.A5-x + 5y = -161-3x + 7y = -8B.(9x - 2y = -212x + 3y = 16C.1-5x + 9y = -123x + 2y = 22D.(2x + 4y = 71x + 2y = 3

Answer 1

Given,

The two lines intersect at the point (6,2).

To find: Check the linear equations.

Solution:

The given equations

`\begin{gathered} -5x+9y=-12.......(1) \\ 3x+2y=22.......(2) \end{gathered}`

Multiply the equation (1) by 3 and equation (2) by 5.

`\begin{gathered} -15x+27y=-36.........(3) \\ 15x+10y=110....(4) \end{gathered}`

Add both equations (3) and (4)

`\begin{gathered} 37y=74 \\ y=2 \end{gathered}`

Put y = 2 in equation (2)

`\begin{gathered} 3x+2*2=22 \\ 3x=22-4 \\ 3x=18 \\ x=6 \end{gathered}`

Hence, the value of x and y is 6 and 2.

Thus, the given option (c) is correct.