For the following system, use the second equation to make a substitution for y in the first equation.

2x + y = 6

y = 3x + 4

What is the resulting equation?

y+ 2x+y= 6
2x+y+ 3x+ 4 = 6
2x+ (3x+ 4) = 6

Question

For the following system, use the second equation to make a substitution for y in the first equation.

2x + y = 6

y = 3x + 4

What is the resulting equation?

y+ 2x+y= 6
2x+y+ 3x+ 4 = 6
2x+ (3x+ 4) = 6

anonymous · Answer

help?

australopithecus · Answer

y = 3x + 4
so,
2x + (3x+4)= 6

australopithecus · Answer

The entire point of systems of equations is to determine where two lines intersect

anonymous · Answer

how do you know where they intersect?

australopithecus · Answer

once you solve for x and y, you will get one or multiple points (x,y) these points are where the two lines intersect

australopithecus · Answer

https://www.wolframalpha.com/input/?i=graph++2x+%2B+y+%3D+6+and+y+%3D+3x+%2B+4

australopithecus · Answer

solve for x and y and you will see that where the lines intersect is exactly the point you found

australopithecus · Answer

using system of equations

anonymous · Answer

thank you c: