Question

Estimate the solution to the system of equations.

You can use the interactive graph below to find the solution
y =4x-2
y=x+3

Answer 1

`\left(\frac53,(14)/(3)\right)`

Explanation:

Equation 1: y = 4x - 2

Equation 2: y = x + 3

Subtract Equation 2 from Equation 1 and solve for x:

⇒ 0 = 3x -5

⇒ 3x = 5

⇒ x = 5/3

Substitute found value of x into one of the equations and solve for y:

⇒ y = 5/3 + 3

⇒ y = 14/3

Therefore, the solution of the system of equations is:

`\left(\frac53,(14)/(3)\right)`