To determine which option is an equation that has one constant, two coefficients, and three terms, let's analyze each response:
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5x - 3y = 7x
Rearranging gives: 5x - 7x - 3y = 0, which simplifies to -2x - 3y = 0. This has three terms: -2x, -3y, and 0 (constant). -
6x = 2y
Rearranging gives: 6x - 2y = 0, which has three terms: 6x, -2y, and 0 (constant). -
2x + 6y = y
Rearranging gives: 2x + 6y - y = 0, which simplifies to 2x + 5y = 0. This has three terms: 2x, 5y, and 0 (constant). -
3x - 4 = 3y
Rearranging gives: 3x - 3y - 4 = 0, which has three terms: 3x, -3y, and -4 (constant).
All the options presented have three terms. However, let's define that by "one constant" we mean one numerical constant in the equation. From this perspective:
- First option: Constant is 0.
- Second option: Constant is 0.
- Third option: Constant is 0.
- Fourth option: Constant is -4.
Despite all options being valid linear equations with three terms, only the fourth option has a constant that is not 0.
Thus, the response that fits an equation with one constant, two coefficients, and three terms could be:
3x - 4 = 3y