Solve for x. 3x = 2 5 A) 1 4 B) 2 15 C) 5 6 Eliminate D) 6 5
1 answer:
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Hey I have posted a picture the method I use to solve simultaneous equations is change the sign and follow the new sign.
This involves changing the sign for the second equation and solving it
This involves changing the sign for the second equation and solving it
Answer:
Proportional relationship states that one in which two quantities vary directly with each other.
In other words, we say the variable y varies directly as x if:
, where k is constant of proportionality.
(1)
Given: y and x varies a proportional relationship, and y = 7 and x=2
find the value of x when y =21
By the definition of proportional relationship;
y = kx ......[1]
Substitute the value y= 7 and x = 2 to solve for k;
Divide by 2 to both sides we get;
Simplify:
k = 3.5
Now, substitute the value of k = 3.5 and y =21 in equation [1] to find the value of x.
Divide both sides by 3.5 we get;
Simplify:
x = 6
Therefore, the value of x is 6.
(2)
Given: y and x varies a proportional relationship, and y = 9 and x=2
find the value of y when x=3.
By the definition of proportional relationship;
y = kx ......[1]
Substitute the value y= 9 and x = 2 to solve for k;
Divide by 2 to both sides we get;
Simplify:
k = 4.5
Now, substitute the value of k = 4.5 and x=3 in equation [1] to find the value of y.
Simplify:
x = 13.5
Therefore, the value of y is 13.5.
(3)
From the given table,
y = 2.8 when x = 2
by the definition of proportional relationship;
or
Divide by 2 to both sides, we get;
Simplify:
k = 1.4
Therefore, the equation that represents the table is; y = 1.4 x