Answer:
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Step-by-step explanation:
Answer:
x=13 and y =6
Step-by-step explanation:
y=x-7
y=6
Substitute y=6 into the first equation
6 = x-7
Add 7 to each side
6+7= x-7+7
13 = x
x=13 and y =6
Answer:
The domain of f is {x : x ∈ R, -7 ≤ x ≤ 7} ⇒ [-7, 7]
Step-by-step explanation:
<em>The domain of a function is </em><em>all the values of x</em><em> make the function defined</em>
In the given graph
∵ The graph drawn from x = -7 to x = 7 and from y = -6 to y = 4
→ That means the values of x started from -7 and ended at x = 7
∵ The coordinates of the starting point of the graph of f are (-7, -5)
∵ The coordinates of the ending point of the graph of f are (7, 3)
∴ -7 ≤ x ≤ 7
∵ Values of x are the domain of the function
∴ The domain of the function is -7 ≤ x ≤ 7
∴ The domain of f = {x : x ∈ R, -7 ≤ x ≤ 7} ⇒ [-7, 7]
Step-by-step explanation:
a.
simply add both equations
x + y = 2
-3x - y = 5
----------------
-2x + 0 = 7
x = -7/2
x + y = 2
-7/2 + y = 2
y = 2 + 7/2 = 4/2 + 7/2 = 11/2
b.
1/2 x + 2y = -13
x - 4y = 8
first multiply the first equating by 2
x + 4y = -26
x - 4y = 8
--------------------
2x + 0 = -18
x = -18/2 = -9
x - 4y = 8
-9 - 4y = 8
-4y = 17
y = -17/4