3x + y = 15
5x3y = 11
This is an example of a system of equations.
A system of equations is two or more equations that can be graphed, as the solution that satisfies both equations will be the point where the lines intersect on a graph.
Desmos is a graphing calculator, and thus it allows you to visualize this system.
3x + 6 = 48 (alternate angles are equal)
- 6
3x. = 42
÷3
x = 14 degrees
180-48 - 2y + 5y-9 =180
123 + 3y = 180
-123
3y = 57
÷3
y = 19 degrees
Explanation:
To find the last angle on the top straight line, do:
180 - (the 2 given angles).
So, 180 - (3x + 16, which is 48 due to alternate angles being equal). Then, minus the 2y.
(180 - 48 - 2y) & simplify => 132 - 2y
This gives you the equation for the missing angle on our top straight line.
Thus, co-interior angles add to 180. So, we add the new equation (132 - 2y) to 5y - 9.
Simplify
=> 123 + 3y (because - 2+5 =3)
and put it equal to 180. Solve for y
Hope this helps!
10³ · x = 630
x = ?
10³ = 10 × 10 × 10 = 1,000
630 ÷ 1000 = x
630 ÷ 1000 = 0.63
x = 0.63
So we have:
10³ · 0.63 = 630
4x+2=-2
4x=-2-2
4x=-4
x=-4/4
x=-1
Answer:
8k+11
Step-by-step explanation:
Combine like terms
9k-k
7+4
9k-k=8k
7+4=11
8k+11