Math  /  Algebra

Question1) Determine if the ordered pair (3,4)(3,4) is a solution to the equation 6x4y=66 x-4 y=6. Find a point that does belong to this line.

Studdy Solution
To find a point on the line, let's choose x=0x = 0 and solve for yy:
Substitute x=0x = 0 into the equation:
6(0)4y=6 6(0) - 4y = 6
This simplifies to:
4y=6 -4y = 6
Solve for yy by dividing both sides by 4-4:
y=64=32 y = -\frac{6}{4} = -\frac{3}{2}
Thus, the point (0,32)(0, -\frac{3}{2}) is on the line.
The ordered pair (3,4)(3, 4) is not a solution, but the point (0,32)(0, -\frac{3}{2}) lies on the line.

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