Question

X+y=1
2x-3y=17

solve the equations algebraically... get thanks and 10 points

Answer 1

The value of x any y is 4 and (-3) respectively

Explanation:

we are given the two equation x + y = 1 and 2x – 3y = 17

Name the equation

x + y = 1 ...(1)

2x – 3y = 17 ...(2)

Now, from equation (1) we get,

x + y = 1

x = 1 – y

Here, we got the value of x = 1 – y

Now, put the value of x = 1 – y in equation (2) we get,

2x – 3y = 17

2(1 – y) – 3y = 17

2 – 2y – 3y = 17

2 – 5y = 17

2 – 2 – 5y = 17 – 2

-5y = 15

-5y/(-5) = 15/(-5)

y = -3

Here, The value of y is -3

put value of y in equation (1)

x + y = 1

x + (-3) = 1

x – 3 = 1

x = 4

Thus, The value of x any y is 4 and (-3) respectively

For Verification

x + y = 1

4 - 3 = 1

1 = 1

2x – 3y = 17

2(4) – 3(-3) = 17

8 + 9 = 17

17 = 17

Hence, L.H.S = R.H.S

-TheUnknownScientist 72