The system of equations 6x+4y=14 and 9x+6y=c are linear equations
The value of c that makes the system have infinitely many solutions is 21
<h3>How to determine the value of c?</h3>
The system of equations are given as:
6x+4y=14
9x+6y=c
Divide through the second equation by 3
3x + 2y = c/3
Multiply through by 2
6x + 4y = 2c/3
Subtract the first equation from the above equation
6x - 6x + 4y - 4y = 2c/3 - 14
Evaluate the differences
2c/3 - 14 = 0
Add 14 to both sides
2c/3 = 14
Multiply by 3/2
c = 21
Hence, the value of c that makes the system have infinitely many solutions is 21
Read more about system of equations at:
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