Final answer:
To multiply the equation 10x - 4y = 17 so that the coefficient of y is -8, we multiply each term of the equation by -2. To multiply the equation 2x + 3y = 12 so that the coefficient of x is 3, we multiply each term of the equation by 1.5.
Step-by-step explanation:
To multiply an equation so that the coefficient of y becomes -8, we can multiply each term of the equation by a constant. In this case, we need to find the appropriate constant that will change the coefficient of y to -8. To do this, we divide -8 by 4, which gives us -2. Multiplying the equation 10x - 4y = 17 by -2 gives us -20x + 8y = -34 as the new equation with the coefficient of y as -8.
To multiply an equation so that the coefficient of x becomes 3, we can follow a similar process. We divide 3 by 2 to determine the constant, which is 1.5. Multiplying the equation 2x + 3y = 12 by 1.5 gives us 3x + 4.5y = 18 as the new equation with the coefficient of x as 3.
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