Question

ſ y = 6x1.Solve:14x + y = 72.{ y = 3xSolve:x = -2y + 703.Which equation, together with y = -1.5x + 3, makes a system with one solution?Ay = -1.5x + 6B.y = -1.5xC.2y = -3x + 6D.2y + 3x = 6E.y = -2x + 3

Answer 1

y = 6x ===== (1)

4x + y = 7 ==== (2)

To solve this system of equations, we will substitute y in equation (2) by equation (1)

4x + 6x = 7

Add the like terms on the left side

(4x + 6x) = 7

10x = 7

Divide both sides by 10 to find x

`\begin{gathered} (10x)/(10)=(7)/(10) \\ x=0.7 \end{gathered}`

Substitute x by 0.7 in equation (1) to find y

y = 6(0.7)

y = 4.2

The solution of the system is (0.7, 4.2)