To rewrite one of the equations in the form ax + by = c, we can multiply the equation by a constant so that the coefficients of x and y are the same as the coefficients in the other equation.
Let's rewrite the first equation -3x + 4y = 24.
To make the coefficient of x the same as the second equation (6x), we can multiply the entire equation by -2:
-2(-3x + 4y) = -2(24)
6x - 8y = -48
Now, if we add this new equation to the unchanged equation from the original system (6x + 2y = -18), we get:
(6x - 8y) + (6x + 2y) = -48 + (-18)
12x - 6y = -66
Therefore, the sum of the new equation (6x - 8y = -48) and the unchanged equation (6x + 2y = -18) results in the equation:
12x - 6y = -66, an equation of one variable.
Consider the system of linear equations below
-3x + 4y = 24
6x + 2y = -18
Determine how to rewrite one of the two equations above in the form ax + by = c, where a, b, and c are constants so that the sum of the new equation and the unchanged equation from the original system results in an equation of one variable.
1 answer
1 answer