Question

Can someone please do this graph thats in the picture for me i need to graph -3,-4

Answer 1

Given the set of equations:

y - 3x = 5

2x - y = -2

Let's graph the set of equations.

Rewrite the equations in slope intercept form:

y = mx + b

Where m is the slope and b is the y-intercept

Let's rewrite both equations for y.

Equation 1:

y - 3x = 5

Add 3x to both sides of the equation:

y - 3x + 3x = 3x + 5

y = 3x + 5

Equation 2:

2x - y = -2

Subtract 2x from both sides:

2x - 2x - y = -2x - 2

-y = -2x - 2

Divide all terms by -1:

`\begin{gathered} (-y)/(-1)=(-2x)/(-1)+(-2)/(-1) \\ \\ y=2x+2 \end{gathered}`

Thus, we have both equations in slope intercept form:

y = 3x + 5

y = 2x + 2

To graph, let's mark two points each from each equation.

y = 3x + 5

When x = 1

y = 3(1) + 5 = 3 + 5 = 8

When x = -1

y = 3(-1) + 5 = -3 + 5 = 2

Mark the points on the graph and connect using a straight line:

(x, y) ==> (1, 8) and (-1, 2)

• y = 2x + 2

When x = 1

y = 2(1) + 2 = 2 + 2 = 4

When x = -1

y = 2(-1) + 2 = -2 + 2 = 0

Mark the points on the graph and connect using a straight line:

(x, y) ==> (1, 4) and (-1, 0)

Thus, we have the graph below:

From the graph, we can see the point where both lines meet is at (-3, -4).

This means the solution to the set of equations is: (-3, -4)