Question

what type of straight lines will be represent b the system of equations 2x+3y=5 and 4x+6y=7.
ans me step by step.​

Answer 1

Answer:

consistent and unique

Answer 2

SOLUTION

TO DETERMINE

The type of straight lines will be represent by the system of equations

2x+3y=5 and 4x+6y=7

CONCEPT TO BE IMPLEMENTED

Two given straight lines are said to be parallel if they have the same slope

EVALUATION

The equation of the first line is

$\sf{}2x + 3y = 5$

Which can be rewritten as

$\sf{} 3y = - 2x + 5$

$\implies \displaystyle \sf{} y = - \frac{2}{3} x + \frac{5}{3}$

$\displaystyle \sf{ \: }Slope \: of \: the \: line \: = - \frac{2}{3}$

The equation of the second line is

$\displaystyle \sf{} 4x + 6y = 7$

Which can be rewritten as

$\displaystyle \sf{} 6y = - 4x + 7$

$\implies \displaystyle \sf{} y = - \frac{4}{6} x + \frac{7}{6}$

$\implies \displaystyle \sf{} y = - \frac{2}{3} x + \frac{7}{6}$

$\displaystyle \sf{ \: }Slope \: of \: the \: line \: = - \frac{2}{3}$

Since the slope of the two lines are equal

Hence the given two lines are parallel

FINAL ANSWER

The type of straight lines will be represent by the system of equations 2x+3y=5 and 4x+6y=7 is

PARALLEL

━━━━━━━━━━━━━━━━

LEARN MORE FROM BRAINLY

Derive the equation of a line having X and Y intercept value as 'a' and 'b' respectively and hence find the equation of the line

https://brainly.in/question/24598684