Question

Solve the system by graphing Y= -5x + 7Y= 2x

Answer 1

Explanation

Given information

y = -5x + 7

y = 2x

To graph the above systems of equations, we need to find the value of x and y

Step 1: Find the value of x by equating the two sides together

`\begin{gathered} y\text{ = -5x + 7 -------- equation 1} \\ y\text{ = 2x ---------- equation 2} \\ \end{gathered}`

-5x + 7 = 2x

collect the like terms

7 = 2x + 5x

7 = 7x

Divide both sides by 7

7/7 = 7x/7

x = 1

Since the value of x = 1, then, we can now find the value of y

To find the value of y, we will need to substitute the value x into equation 1

`\begin{gathered} y\text{ = -5\lparen1\rparen + 7} \\ y\text{ = -5 + 7} \\ y\text{ = 2} \end{gathered}`

Hence, the points are (1, 0) and (0, 2)

Step 2: Graph the above points

The red line is the equation y = 2x

The blue line is the equation y = -5x + 7