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Answer:
Step-by-step explanation:
The given system of equations is 4x - 9y = 7 and -2x + 3y = 4
In this system of equations in order to eliminate the x- terms we will multiply by a number so that coefficients of x may become same.
Therefore, to eliminate the x - terms we multiply second equation by 2.
Similarly to eliminate the y-terms we will multiply the equation by a number so that coefficient of y in both the equations become same.
Therefore, we will multiply second equation by 3.
In order to eliminate the x-terms, multiply by equation 2 by 2.
In order to eliminate the y-terms, multiply equation 2 by 3.
The system of equations are known as simultaneous equation. In order to determine the value of x and y, the question is using an elimination method.
4x – 9y = 7 equation 1
–2x + 3y = 4 equation 2
In order to eliminate the x-terms, the value of x in equation 1 and 2 has to be equal. x has a value of 4 in equation 1 and a value of -2 in equation 2. Therefore, multiply equation 2 by 2. The value of x now becomes -4.
In order to eliminate the y-terms, the value of y in equation 1 and 2 has to be equal. y has a value of -9 in equation 1 and a value of 3 in equation 2. Therefore, to make the values equal multiply equation 2 by 3.
To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults
