Point of intersection is: (6,80)
Step-by-step explanation:
In order to find the point of intersection for two lines we solve the equations.
Given equations are:
[tex]y = 10x+20\ \ \ Eqn1\\y = 5x+50\ \ \ Eqn2[/tex]
Putting y = 5x+50 in equation 1
[tex]5x+50 = 10x+20\\50-20 = 10x-5x\\5x = 30\\\frac{5x}{5} = \frac{30}{5}\\x = 6[/tex]
Putting x=6 in equation 1
[tex]y = 10(6)+20\\y = 60+20\\y = 80[/tex]
Hence,
Point of intersection is: (6,80)
Keywords: Linear equations, variables
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