asked 14.2k views
20 votes
At what point do the lines y= 2x + 3 and y = 5x - 9 intersect? ​

asked
User DAngelov
by
8.2k points

1 Answer

9 votes

Answer:

(4,11)

Explanation:

y=2x+3

y=5x-9

the first equation is equal to the second equation so

2x+3=5x-9

put like terms together

2x-5x= -9-3

-3x= -12

divide both sides by -3

.•.x=4

now, use the value of x to find the value of y like this:

y=2x+3 (x=4)

y=2(4)+3

y=8+3

y=11

therefore, the two lines intersect at the point (4,11)

answered
User DSquare
by
8.7k points

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