Question

What is a value of k if (k,5) is the solution of the simultaneous equations 4x + 3y = 19 and 4x - 3y = -11 ? *​

Answer 1

Answer:

x=1 and y=5---------x=1 and k=5

Step-by-step explanation:

Let's solve your system by substitution.

4x+3y=19 and 4x−3y=−11

Rewrite equations:

4x+3y=19;4x−3y=−11

Step: Solve4x+3y=19for x:

4x+3y=19

4x+3y+−3y=19+−3y(Add -3y to both sides)

4x=−3y+19

4x/4=−3y+19/4

(Divide both sides by 4)

x=−3/4y+19/4

Step: Substitute

−3/4y+19/4

for x in4x−3y=−11:

4x−3y=−11

4(−3/4y+19/4)−3y=−11

−6y+19=−11(Simplify both sides of the equation)

−6y+19+−19=−11+−19(Add -19 to both sides)

−6y=−30

−6y/−6=−30/−6

(Divide both sides by -6)

y=5

Step: Substitute5for y in x=

−3/4y+19/4:

x=−3/4y+19/4

x=−3/4(5)+19/4x=1(Simplify both sides of the equation)

Answer:

x=1 and y=5

Answer 2

Answer:

x=k and y=5

4×k+3×5=19

4k +15=19

4k=4

k=1

in equation no 2

4×k- 3×5= -11

4k-15=-11

4k=4

k=1

I hope it will help you