Answer :
Use simultaneous equations;
9x - 8y = 4
2x - 3y = -4
We can rearrange the second one to say that:
2x = 3y - 4
x = [tex] \frac{3y-4}{2} [/tex]
so;
9([tex] \frac{3y-4}{2} [/tex]) - 8y = 4
9(3y - 4) - 16y = 8
27y - 36 - 16y = 8
11y = 44
y = 4
We then substitute y = 4 back into an original equation
9x - 8y = 4
9x - 8*4 = 4
9x - 32 = 4
9x = 36
x = 4
Final answer;
x = 4, y = 4
9x - 8y = 4
2x - 3y = -4
We can rearrange the second one to say that:
2x = 3y - 4
x = [tex] \frac{3y-4}{2} [/tex]
so;
9([tex] \frac{3y-4}{2} [/tex]) - 8y = 4
9(3y - 4) - 16y = 8
27y - 36 - 16y = 8
11y = 44
y = 4
We then substitute y = 4 back into an original equation
9x - 8y = 4
9x - 8*4 = 4
9x - 32 = 4
9x = 36
x = 4
Final answer;
x = 4, y = 4
you could multiply the top equation by 3 and the bottom by -6 so then it would be:
27x-24y=12
-12x+24y=24
you can then get rid of the y since they cancel out each other, so you end up with:
27x=12
-12x=24
combine these two equations so you get:
15x=36
divide both sides by 15 so you get:
x=2.4
then plug x into one of the equations to find y:
2.4-3y=-4
subtract 2.4 from each side
-3y=-6.4
divide both by -3:
y=-2.13
so y=-2.13 and x=2.4
27x-24y=12
-12x+24y=24
you can then get rid of the y since they cancel out each other, so you end up with:
27x=12
-12x=24
combine these two equations so you get:
15x=36
divide both sides by 15 so you get:
x=2.4
then plug x into one of the equations to find y:
2.4-3y=-4
subtract 2.4 from each side
-3y=-6.4
divide both by -3:
y=-2.13
so y=-2.13 and x=2.4
