PLEASE HELP ME ASAP!

x=5, y=2

Step-by-step explanation:

You simply write down what you see:

3x - 4y + 4x - 5y = 17

2x - 3y + 3x - 5y = 9

Then you simplify by grouping the x and the y terms:

7x - 9y = 17

5x - 8y = 9

Now you want to get equal amounts of x or y. Let's go for x. If we multiply the top eq with 5 and the bottom one with -7, we get:

35x - 45y = 85

-35x  + 56y = -63

+ now we can add them:

11y = 22 divide by -11

y = 2

So 7x - 18 = 17, x =5

Finally, it makes sense to double check by filling in these answers in the original equations, just to see if no mistakes were made:

3*5 - 4*2 = 7

4*5 - 5*2 = 10

7+10 = 17: ok!

2*5 - 3*2 = 4

3*5 - 5*2 = 5

4+5 = 9: ok!

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

tap for more

m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0