Please help to find x, y

1. 8x-y=17
6x+y=11

2. 5x-2y=17
2x+3y=3

Question no.1

8x-y=17
6x+y=11 (adding the equation)
__________ (-y and +y will be 0)
14x =28
Taking variables to one side
x=28
__
14
14*2=28
therefore x=2
substitute this value of x in equation 2
6x+y=11
6*2+y=11
12+y=11
y=11-12
y=-1
(x=2)and (y=-1) is the solution of the given equation.

Instead of miley's suggestion, do the following:

Take the value of y in the first formula and substitute it for y in the second formula. Solve the second formula for x.

8x-y=17

-y=17-8x

y=8x-17 (Value of y)

Once x is found, solve for y in the second formula. Check by inserting both values into the first formula.

I hope this helps much more. Thanks for asking.

Question no 2
5x-2y=17 eq 1
2x+3y=3 eq 2
multiply eq 1 by 3
3*5x-3*2y=3*17
15x-6y=51 eq 3
Now multiply eq 2 by 2
2*2x+2*3y=2*3
4x+6y=6 eq 4
15x-6y=51
__________
19x =57 (adding both the equations)
x=57
___
19
x=3
substitute this value of x in eq 2
2x+3y=3
2*3+3y=3
6+3y=3
3y=3-6
3y=-3
y=-1
(x=3) and (y=-1) is the solution of the given equation.

x and the co-effecient cannot be subtracted so the substitution by adding is better

hey tamia can i know by which method are you solving the equation ?

the you is for my and how that the line of best fit equation is appropriate, mentioning both the slop and y-intercept in your response

Based on the steps you provided, it seems like you are using the method of substitution to solve the system of equations. In this method, you isolate one variable in one equation and substitute its value into the other equation. This allows you to solve for the remaining variable. Once you find the value of one variable, you can substitute it back into any of the original equations to solve for the other variable.

Alternatively, in the second equation for question 1, you are using the method of addition or elimination. By adding the two equations, you are able to eliminate one variable and solve for the other. This method is also commonly used to solve systems of equations.

Both methods are valid and can be used to solve systems of equations. It's good to have different methods in your toolbox so you can choose the one that you find most efficient or convenient for a particular problem.