Question

What is the solution to the system of equations represented by these two lines?

Answer 1

wheres is the lines?

Answer 2

@Cookiemonster32

Answer 3

is there a close up for those lines i can't make out some numbers

Answer 4

yep

Answer 5

i have
y=(-1/2)x + 4
and
y=(3/2)x
is this correct?

Answer 6

yep

Answer 7

would i put the answer choice where x is?

Answer 8

well what are the answer choices

Answer 9

(0, 4)
(2, 0)
(4, 2)
(2, 3)

Answer 10

well do any of those lines intercept with the points of the answer choices

Answer 11

i dont know lol so lostt :(

Answer 12

well what math is this?

Answer 13

corrdiante algebra

Answer 14

new school new class

Answer 15

ok....well do you know anything bout this....

Answer 16

nope

Answer 17

well i will give you a quick lesson..

Answer 18

ok

Answer 19

Sometimes graphing a single linear equation is all it takes to solve a mathematical problem. Other times, one line just doesn’t do it, and a second equation is needed to model the situation. This is often the case when a problem involves two variables. Solving these kinds of problems requires working with a system of equations, which is a set of two or more equations containing the same unknowns.

Let’s take a look at systems of equations, and see what the graphs of individual equations within a system reveal about the mathematical relationship of the variables.

Systems of Equations

A system of equations contains two or more linear equations that share two or more unknowns. To find a solution for a system of equations, we must find a value (or range of values) that is true for all equations in the system.

Answer 20

Remember, the graph of a line represents every point that is a possible solution for the equation of that line. So when the graphs of two equations cross, the point of intersection lies on both lines, meaning that it is a possible solution for both equations. When the graphs of two equations never touch, there are no shared points and there are no possible solutions for the system. When the graphs of two equations lie on top of one another, they share all their points and every one is a possible solution.