LINEAR EQUATION WITH TWO VARIABLES
· Linear equation with two variable is the step to solving problem with step of =
1. Graphical method
2. Elimination method and
3. Substitution method
Exercise :
A. Solving the following simulaneous linear equation in two variables using substitution method!
1. X=2y
2y-x=3
2. X-2y=2
x+2y=6
B. Express the following statement in a linear quation in two variable
1.The perimeter of a rectangle is 84
2.The perimeter of an isosceles triangle is 78
3. The sum of budi’s and abi’s marble is 24
=5
C. Finish the linear equation with elimination method :
1. 4x+3y=11 and 5x-4y=6
2. 3x-2y=8 and 4x-3y=11
3. 7x-3y=6 and 8x+5y= -1
D. Finish the linier equation witth substitution method
1. Y=x+1 and 2x+3y=13
2. 1/2x-1/5 (y-3)=1 and x-y=-1
3. 3x+5y=1 and 1/3 (x-6)-1/2y=0
E. Mandra bought 5 books and 4 pencils, the price Rp 8.000,00 at Jayo shop. After that Joko bought 3 books and 5 pencils, the price Rp 6.100,00.
1. create mathematical sentences with linear equation with 2 variable
2. sum with diagram graphics method
F. By substitution method , determine whether each of the following ordered pairs is the solution of the simultaneous linear equation
1. x + 2y = 3
2x=3y = 4
2. x + y = -5
x - 2y = 4
3. 2x + 3y =8
3x + 2y =17
4. 2x – 3y = -10
x + 2y = 2
5. Substitution of y = 2 into equation 2x + 3y = 12 : 2x + 3(2) = 12
G. By elimination
1. 2x – 3y = -10
x + 2y = 2
2. 2x + 3y = 12
4x – 7y = -2
3. 2x + y = -5
3x – 2y = 12
4. 3x + 2y = 12
x + 2y = 6
5. x + 2y = 6
-x + 2y = 4
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