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2 years ago

Solve the system of equations below algebraically. 2x + 3y = 6 - 5x+2y=4

Mathematics

1 answer:

trapecia [35]2 years ago

4 0

Answer: The solution is (0,2)

Step-by-step explanation:

2x +3y = 6 We will solve the equations using the elimination method

-5x +2y= 4 but first we need to eliminate one of the variables and we will multiply the first equation by 5 and multiply the second equation by 2 to eliminate the x variable.

5(2x + 3y) =6(5) new equation : 10x +15y = 30

2(-5x + 2y) = 4(2) new equation ; -10x +4y =8

Now we have to new equations so we will eliminate the x term by adding

10x +15y = 30

-10x +4y =8

19y = 38 divide both sides by 19.

y= 2 Now using the solution for y plot it into one of the new equations and solve for x

10x + 15(2) = 30

10x + 30 = 30

-30 -30

10x = 0

x= 0

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<u>Solution:</u>

Given, it takes 6 hours for a plane to travel 720 km with a tail wind and 8 hours to make the return trip with a head wind.

We have to find the air speed of the plane and speed of the wind.

Now, let the speed wind be "a" and speed of aeroplane be "b"

And, we know that, distance = speed x time.

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