mycollegehive
2x + 2y = 5 3x + 3y​ = 7​ How many solutions does the sy...
SAT-math-test SAT math
0

2x + 2y = 5

3x + 3y​ = 7​

How many solutions does the system of equations above have?

A. zero

B. one

C. two

D. infinitely many

286 views
Share Follow
University of Lagos Nigeria
18 November 2020

University of Benin Nigeria
18 November 2020
0

A system of linear equations has no solution if they are parallel when ploted on a graph.

The general form of linear equation is given as:

y = mx + c

where m is the slope and c is the intercept.

Given:

2x + 2y = 5

3x + 3y​ = 7​

The above equations can be written in linear form as:

2x + 2y = 5

2y = -2x + 5

y = -x + 5/2 ----------- eqn(1)

and

3x + 3y​ = 7​

3y = -3x + 7

y = -x + 7/3 ---------- eqn(2)

since both eqn(1) and eqn(2) has the same slope but different intercept, thus, both lines are parallel and has no solution

Share

### Groups

How to insert math formulas/equations

SAT-math-test

14 followers

476 questions

SAT

9 followers

487 questions

math

23 followers

1262 questions