SOLUTION: Not sure how to type them in but the bracket is suppose to connect both numbers in one bracket! Solve the system with the addition method: {12x+18y= 21 {4x+6y

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Question 1060442: Not sure how to type them in but the bracket is suppose to connect both numbers in one bracket!
Solve the system with the addition method:
{12x+18y= 21
{4x+6y= 7

Enter your answers as integers or as reduced fraction(s) in the form A/B. If there is no solution, type "DNE" in each blank. If there are an infinite number of solutions, specify their form in the blanks in terms of x (eg. (x, 2x-3))

Found 3 solutions by addingup, ikleyn, MathTherapy:
Answer by addingup(3677)   (Show Source): You can put this solution on YOUR website!
No solution. If you try to solve it you'll get zeros across

Answer by ikleyn(52814)   (Show Source): You can put this solution on YOUR website!
.
Infinitely many solutions.

If you divide both sides of the first equation by 3, you will get an equivalent equation
4x + 6y = 7,

which is identical to the second equation.

So, the two equations are equivalent and represent, actually, SINGLE equation with two unknowns, which has INFINITELY MANY solutions.


Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!
Not sure how to type them in but the bracket is suppose to connect both numbers in one bracket!
Solve the system with the addition method:
{12x+18y= 21
{4x+6y= 7

Enter your answers as integers or as reduced fraction(s) in the form A/B. If there is no solution, type "DNE" in each blank. If there are an infinite number of solutions, specify their form in the blanks in terms of x (eg. (x, 2x-3))
Factor out a 3 in eq (i): 12x + 18y = 21, to get: 4x + 6y = 7 ------- eq (i).
This is IDENTICAL to eq (ii) so:
Let no-one tell you otherwise!!
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