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djyliett [7]
3 years ago
12

Solve and check the following system: X +2y =4 2x - y =3

Mathematics
2 answers:
maks197457 [2]3 years ago
7 0

The solution of the given system of equation is x = 2 and y = 1

Step-by-step explanation:

Given,

x+2y = 4 -------eq 1

2x -y = 3 ------- eq 2

To find the value of x and y

Putting y = 2x-3 from eq 2 in eq 1 we get,

x+2(2x-3) = 4

or, x+4x-6 = 4

or, 5x = 10

or, x = 2

Again,

From eq 2 we get,

y = 2×2-3 = 1

Hence,

x = 2 and y = 1

<u>Checking</u>:

Putting the values of x=2 and y=1 in eq 1 and eq 2 we get,

2 + 2×1 = 4 and

2×2-1 = 3

Dima020 [189]3 years ago
6 0

Step-by-step explanation:

x + 2y = 4

2x - y = 3

To solve this system of equation, let's multiply the second equation by two so both equations have a 2y:

x + 2y = 4

4x - 2y = 6

Next, let's add the two equations together to remove the y and solve for x:

(x + 2y) + (4x - 2y) = 4 + 6

5x = 10

x = 2

Now that we have the value of x, we can plug it into either of the equations to solve for y:

x + 2y = 4

(2) + 2y = 4

2y = 2

y = 1

or

2x - y = 3

2(2) - y = 3

4 - y = 3

y = 1

Therefore, the solution to this system of equations is (2, 1).

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