Question

Kuta Software - Infinite Algebra 2 Name Systems of Two Equations Date Solve each system by graphing. 1) y=-3x + 4 y= 3x - 2 2) y=x+2 x=-3 5

Answer 1

Solution of the system of equations: (1, 1)

x = 1, y = 1

Step-by-step explanation:

Given the below system of equations;

`\begin{gathered} y=-3x+4 \\ y=3x-2 \end{gathered}`

Note that the slope-intercept form of the equation of a line is given as;

`y=mx+b`

where m = slope of the line

b = y-intercept of the line

Comparing the given system of equations with the slope-intercept equation, we can see that, for the 1st equation (y = -3x + 4), the slope(m) = -3 and y-intercept(b) = 4 and for the 2nd equation, slope(m) = 3 and y-intercept(b) = -2.

Knowing the above information, let's go ahead and graph the system of equations;

From the above graph, the point of intersection of the two lines (1, 1) is the solution of the system of equation.