Question
Solve the following systems of linear equations using algebraic method.
1)3y=11-2x
3x=y-11
2)8x-6y=14
12x-9y=18
1)3y=11-2x
3x=y-11
2)8x-6y=14
12x-9y=18
Answers
Jennifer
1). 3y=11-2x
2). 3x=y-11
Using equation 1: y = (11-2x)/3
Substituting into equation 2
3x = (11-2x)/3 - 11
x = (11 -2x)/9 - 11/3
x + 2x/9 = 11/9 - 11/3
11x/9 = 11/9 - 11/3
solve for x
Then plug x into either equation 1 or 2, and solve for y
2) Use a similar procedure, as shown in problem 1
2). 3x=y-11
Using equation 1: y = (11-2x)/3
Substituting into equation 2
3x = (11-2x)/3 - 11
x = (11 -2x)/9 - 11/3
x + 2x/9 = 11/9 - 11/3
11x/9 = 11/9 - 11/3
solve for x
Then plug x into either equation 1 or 2, and solve for y
2) Use a similar procedure, as shown in problem 1
Monique
X+12+x<44