Question

If x=1, y=3 is a solution of the equation 3x - 4y=k, find the value of k.
NEED STEP BY STEP ANSWER
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Answer 1

Answer:

3(1)-4(3)=k

4-12=k

-8=k

Answer 2

Answer:

Given:-

If x = 1, y = 3 : What is the solution of the equation 3x - 4y = k, find the value of k.

To Find:-

The solution of equation, the value of k

Note:-

●》Constant × Variable = Variable. For example - 3 × x = 3x, 4 × y = 4y.

●》Equation means both side term should be equal that L.H.S = R.H.S.

Solution:-

x = 1, y = 3, k = ?

☆ Equation~

▪︎$3x - 4y = k$

☆ According to note first point~

▪︎$3 × x - 4 × y = k$

▪︎$3 × 1 - 4 × 3 = k$

▪︎$3 - 12 = k$

☆ After doing subtraction~

▪︎$- 9 = k$

So, k = - 9

Checking:-

♤ Now let's check, accordingly note second point ( equation means )~

• $3x - 4y = k \ \ ?$

♤ Applying the value~

• $3 × 1 - 4 × 3 = - 9 \ \ ?$

• $3 - 12 = - 9 \ \ ?$

• $- 9 = - 9$

♤ Yes!

Hence, proved that k = - 9 and the solution of equation is - 9

Answer:-

Hence, the value of k = - 9 and the solution of the equation is also = - 9.

:)