First, because 13x-85 and 97 are across from each other like that, you know that they are equal to each other. If you solve, you know that x is equal to 14. Then, you know that all the angles must equal 360 degrees. If you add 97 and 97 together, you get 194. Now, subtract that by 360, and you get the remaining degrees of the other two angles. Then, divide that by two, and z equals 83. Hope this helped!
Step-by-step explanation:
Let the marked price of a watch be =₹x
∴ Discount price = x- 20% of x
= x - 0.2x
=0.8x
Amount of VAT = 13% of 0.8x
0.13 x 0.8x
0.104x
Now,
Selling price = 0.8x + 0.104x
∴6328 = 0.904x
x = 0.904 / 6328
x=0.00014285714
Answer:
x= -1, y = -1
Step-by-step explanation:
-16x +24y = -8
16x -8y = -8
16y = -16
y=-1
16x = -16
x = -1
Substitution is where we first Isolate one of the unknowns, express it in terms of the other unknown, and replace the isolated unknown with the other unknown in another equation. So that each time we only need to deal with one unknown. I think you'll get a better idea here:
First name these 2 equations with 1 and 2.
4x + 5y = 7 (1)
y = 3x + 9 (2)
Since y is already isolated in (2), so we can skip the isolation step and continue to substitute.
Substitute (2) into (1).
4x + 5(3x+9) = 7
Expand.
4x + 15x + 45 = 7
Group.
19x + 45 = 7
Shift +45 to the other side and turn it into -45.
19x = 7 - 45
19x = -38
Shift x19 to the other side, turn it into /19.
X = - 38/19
X = - 2
Now we solved x already, we can just substitute x= - 2 back to equation (2).
y = 3(-2) + 9
y = - 6 + 9
y = 3
So, the answers are
x = - 2
y = 3
