Question

Solve the system of equations and choose the correct answer from the list of options.

2x + y = −4
y = 3x + 2

(-6/5, -8/5 )
(-8/5, -6/5)
(-5/6, -11,5)
(-11/5, -6/5)

Answer 1

easiest way is the substitution method
so we are given : y = 3x + 2
so we are gonna sub in 3x + 2 for y in the other equation

2x + y = -4
2x + 3x + 2 = -4 --- subtract 2 from both sides
2x + 3x = -4 - 2 -- combine like terms
5x = -6
x = -6/5

now, to find y, sub in -6/5 for x in either of the equations
y = 3x + 2
y = 3(-6/5) + 2
y = -18/5 + 2 --- common denominator is 5
y = -18/5 + 10/5
y = -8/5

so your solution is : (-6/5, -8/5)

any questions at all ??

Answer 2

No question. Thank you I think I understand it now. Can you help me with one more please ?

Answer 3

yes..of course

Answer 4

A set of equations is given below:

Equation C: y = 6x + 9
Equation D: y = 6x + 2

Which of the following options is true about the solution to the given set of equations?

One solution
No solution
Two solutions
Infinite solutions

Answer 5

set them equal to each other
6x + 9 = 6x + 2 --- subtract 6x from both sides
6x - 6x + 9 = 6x - 6x + 2 -- combine like terms
9 = 2 (not true)
NO SOLUTIONS

Answer 6

thank you so much

Answer 7

anytime :)