ANSWER
STEP-BY-STEP 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
[tex]\begin{gathered} y\text{ = -5x + 7 -------- equation 1} \\ y\text{ = 2x ---------- equation 2} \\ \end{gathered}[/tex]
-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
[tex]\begin{gathered} y\text{ = -5\lparen1\rparen + 7} \\ y\text{ = -5 + 7} \\ y\text{ = 2} \end{gathered}[/tex]
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
