SOLUTION: First, solve the following system by graphing.
2x - 6y =2
6x + 3y = 12
Then, find the sum of the x and y coordinates of the solution.
Algebra ->
Linear-equations
-> SOLUTION: First, solve the following system by graphing.
2x - 6y =2
6x + 3y = 12
Then, find the sum of the x and y coordinates of the solution.
Log On
You can put this solution on YOUR website! Get both equations into slope-intercept form: y = mx + b
L1: 2x - 6y =2
2x - 2 = 6y
y = (1/3)x - (1/3)
L2: 6x + 3y = 12
3y = -6x + 12
y = (-2)x + 4
Graph L1 (red line) and L2 (green line):
Find point of intersection p1:
Substitute L2 [y = (-2)x + 4] for y in L1 and solve for x:
(-2)x + 4 = (1/3)x - (1/3)
(1/3)x + 2x = 4 + (1/3)
(3/3)x + 6x = 12 + (3/3)
x + 6x = 12 + 1
7x = 13
x = 13/7
Find y:
y = (-2)(13/7) + 4
y = (-26/7) + (28/7)
y = 2/7
p1 = (13/7, 2/7)
The sum of the coordinates is:
13/7 + 2/7
15/7
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Convert fractions, decimals, and percents:
https://sooeet.com/math/fraction-decimal-percent.php
---
Calculate and graph the linear regression of any data set:
https://sooeet.com/math/linear-regression.php
