SOLUTION: i have two solution sets from two linear equations equation one: y=4(x)-1 The solution set is: (-2, -9) (0, -1) (2, 7) (5, 19) Equation 2: y=3(x)+5 The solution set

Question 194799: i have two solution sets from two linear equations
equation one:
y=4(x)-1
The solution set is:
(-2, -9)
(0, -1)
(2, 7)
(5, 19)
Equation 2:
y=3(x)+5
The solution set is:
(-2, 9)
(0,15)
(2, 21)
(5, 30)
As you can see I have already found the solution set; my problem is that once I graph it I can not get them to cross to show the solution point. Can you please help me?
Found 2 solutions by RAY100, solver91311:
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
Good work,,,You understand how graphing works,
.
The first set looks good
.
looking at the second set,,,y = 3x +5
for x=0, y =0 +5 = 5
for x=2, y= 3(2) +5 = 11
for x=5, y=3(5) +5 = 20
for x=-2, y=3(-2) +5 = -1
.
if we look at the two eqns
1) y=4x-1
2) y=3x+5
.
4x-1 =3x+5
x=6
substituting in (1)
y = 4(6) -1 = 23
.
solution ( intersection) at (6,23)
.
checking
substitute in both eqns
1) 23 = 4(6)-1,,,,ok
2) 23 = 3(6) +5,,,,ok
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Since y is equal to two different things, why not set them equal to each other?

Add -3x to both sides, add 1 to both sides:

Then

Point of intersection is (6, 23)

John

RELATED QUESTIONS
Question 4 (Multiple Choice Worth 4 points) (08.03)A set of equations is given... (answered by macston)
The solution for a system of two linear equations is (0, 0). Which equation below could... (answered by ewatrrr)
(the original problem was solve the equation and use set equation to express solution... (answered by Fombitz)
1. What is the formula for the determinant of a 3 x 3 matrix ? A. B.... (answered by richard1234)
I've missed a lot of school because I've been sick and I'm trying to get all of my work... (answered by jsmallt9)
I have two questions. solve the equation. 1/x+7 + 5/x+6 = -1/x^2+13x+42. The second... (answered by Fombitz)
1.Solve the linear equation : 2x+y-3z= 5,3 x-2y-2z= 5, and 5x-3y-z= 16. a.(1 , 3 ,... (answered by Vladdroid)
I couldn't work letter C and #2, please assist. Please check the rest of the work and... (answered by yuendatlo,solver91311)
What is the slope m and y-intercept point of the line y = 2x + 1? slope m = 2... (answered by oberobic)