Question

state wheaher the pair of linear equation is consistent or inconsistent .2x +3y= 7,4x-6y=14​

Answer 1

Answer:

9x=7/2 and y=0

Step-by-step explanation:

Let's solve your system by substitution.

2x+3y=7;4x−6y=14

Step: Solve2x+3y=7for x:

2x+3y=7

2x+3y+−3y=7+−3y(Add -3y to both sides)

2x=−3y+7

2x/2=−3y+7/2

(Divide both sides by 2)

x=−3/2y+7/2

Step: Substitute

−3/2y+7/2

for x in4x−6y=14:

4x−6y=14

4(−3/2y+7/2)−6y=14

−12y+14=14(Simplify both sides of the equation)

−12y+14+−14=14+−14(Add -14 to both sides)

−12y=0

−12y/−12=0−12

(Divide both sides by -12)

y=0

Step: Substitute 0 for y in x=−3/2y+7/2:

x=−3/2y+7/2

x=−3/2(0)+7/2

x=7/2(Simplify both sides of the equation)