If (4, 19) is a solution of the equation y = ax +3, then find the value of a.
Answers
Answer:
a=4
Step-by-step explanation: 4 is the x cordinate and 19 is the y corrdinate. So put in the values.
19=4a+3
16=4a
4a=16
a=4
Answer:
a = 4
Step-by-step explanation:
⇒ Since the co-ordinates in the brackets depict the the points on X-axis and Y-axis. For example as shown below:-
⇒ In the question we have 4 and 19 in the brackets therefore, 4 is on the X-axis (abscissa) as the number on the left hand side of the bracket depicts the point on X-axis and so the value for X will be 4 only. Now, the number on the right hand side of the bracket depicts the point on Y-axis therefore, 19 is on the Y-axis (ordinate) and is the the value for Y. So now putting the values in the given equation to find out the value for 'a':-
y = 19 → From the given statement above (1)
x = 4 → Also from the given statement above (2)
⇒ Substituting (1) and (2) in the equation, we get:
⇒ 19 = a(4) + 3
⇒ 19-3 = 4a → By transposing and multiplying a and 4
⇒ 16 = 4a
⇒ a = 16÷4
⇒ a = 4
∴ The value of a is 4
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