Estimate the solution to the following system of equations by graphing 3x+5y=146x - 4y=9Answer choices: • (5/2, 4/3)• ( 4/3, 5/2)• ( 7/3 , -7/2)• (-5/2 , -7/2)
Accepted Solution
A:
Convert them to slope intercept form.
3x + 5y = 14 Subtract 3x from both sides. 5y = 14 - 3x Divide by 5 on both sides. y = -3/5x + 14/5
6x - 4y = 9 Subtract 6x from both sides. -4y = 9 - 6x Divide by -4 on both sides. y = 3/2x - 9/4
Graphing both of them will get you to picture.
2.405 rounded is 2.5 1.375 rounded is 1.4
(2.5, 1.4)
(5/2, 4/3) divided is (2.5, 1.33) which is the closest you can get.