Draw the graph of the equations x – y +1 = 0 and 3x +2y -12 = 0. Using this graph, find the values of x and y which satisfy both the equations. class 10 About the author Melody
Answer: 1:- Let’s solve for y. x−y+1=0 Step 1: Add -x to both sides. x−y+1+−x=0+−x −y+1=−x Step 2: Add -1 to both sides. −y+1+−1=−x+−1 −y=−x−1 Step 3: Divide both sides by -1 −y/-1 = −x−1/−1 2:- Let’s solve for x. 3x+2y−12=0 Step 1: Add -2y to both sides. 3x+2y−12+−2y=0+−2y 3x−12=−2y Step 2: Add 12 to both sides. 3x−12+12=−2y+12 3x=−2y+12 Step 3: Divide both sides by 3. 3x 3 = −2y+12 3 x= −2 3 y+4 Reply
Answer:
1:- Let’s solve for y.
x−y+1=0
Step 1: Add -x to both sides.
x−y+1+−x=0+−x
−y+1=−x
Step 2: Add -1 to both sides.
−y+1+−1=−x+−1
−y=−x−1
Step 3: Divide both sides by -1
−y/-1 = −x−1/−1
2:- Let’s solve for x.
3x+2y−12=0
Step 1: Add -2y to both sides.
3x+2y−12+−2y=0+−2y
3x−12=−2y
Step 2: Add 12 to both sides.
3x−12+12=−2y+12
3x=−2y+12
Step 3: Divide both sides by 3.
3x
3
=
−2y+12
3
x=
−2
3
y+4