Multiply the equation by a power of 10 to write an equivalnet equation with integers coefficients.
6.2x + 4.5 = 3.8x+ 7.9
Wouldn't that just be
62x + 45 = 38x + 79 ??
Am I missing something here?
Integer coeffecients means numbers with no decimal part. Recall that an equation is still valid if you multiply both sides by the same value. For the coeffecients of X (6.2 on the left and 3.8 on the right) what would be required to change those to 62 and 38 respectively?
To multiply the equation by a power of 10, we need to determine the least common multiple (LCM) of the denominators of the coefficients in the equation. In this case, the denominators are 2, 5, and 10 (from 6.2, 4.5, and 3.8 respectively).
Step 1: Find the least common multiple (LCM) of the denominators.
The LCM of 2, 5, and 10 is 10. Therefore, we will multiply each term in the equation by 10 to eliminate the decimal values.
Step 2: Multiply each term by 10.
10 * (6.2x) + 10 * (4.5) = 10 * (3.8x) + 10 * (7.9)
This simplifies to:
62x + 45 = 38x + 79
So, the equivalent equation with integer coefficients is:
62x + 45 = 38x + 79.