solve these simultaneous equations algebraically

Question

y= 2x² - 7x + 4

y= 4x - 1

Answer 1

y = 2x² - 7x + 4
y = 4x - 1

 

To solve means to find the points where the graphs of the two equations cross.  At the crossing points, the equations are equal, so set them equal to find the value of x where they cross.

2x² - 7x + 4 = 4x - 1

2x² - 11x + 5 = 0

 

Solve by factoring or the quadratic formula.  You will get two answers.  To find the corresponding y-values, plug the x values into either equation.