Question

what is the value of Dx for the simultaneous equation
$3x + 2y + 11 = 0 \: and \: 7x - 4y = 9 ?$
​

Answer 1

Step-by-step explanation:

${\large{\underbrace{\textsf{\textbf{\color{red}{➵}{\color{green}{\:\:ANSWER\: :-}}}}}}}$

➵Solve by Substitution

Let's solve your system by substitution.

3x+2y+11=0;7x−4y=9

➵Step: Solve3x+2y+11=0for x:

3x+2y+11=0

3x+2y+11+−2y=0+−2y(Add -2y to both sides)

3x+11=−2y

3x+11+−11=−2y+−11(Add -11 to both sides)

3x=−2y−113x3=−2y−113

(Divide both sides by 3)

x=−23y+−113

➵Step: Substitute−23y+−113

for x in7x−4y=9:7x−4y=9

7(−23y+−113)−4y=9−263y+−773=9(Simplify both sides of the equation)−263y+−773+773=9+773

Add 77/3 to both sides)

−263y=1043y−263=104 3−263

(Divide both sides by (-26)/3)y=−4

➵Step: Substitute−4for y in x=−2

3y+−113

:x=−23

y+−113

x=−23

(−4)+−113x=−1(Simplify both sides of the equation)

➵Answer:

$➵x=−1 and y=−4$