4x+2y-7=0 and x+3y-5=0
Answers
Answer:
4x+2y=7...............(1)eq
x=7-2y/4
x+3y=5................(2)eq
now put the value of 'x' in eq (2)
ie.,7-2y/4+3y=5
7-2y+12y/4=5
7+10y=20
ie.,y=13/10.......(3)
now put the value of y in eq(1)
4x+2×13/10=7
4x+13/5=7
4x=35-13
x=22/4
ie.,x=11/2 and y=13/10
4x+2y=7 (equation one)
x+3y=5(equation two)
substitution method
x+3y=5
=x=5-3y
substitute x=5-3y in first equation
4x+2y=7
4(5-3y)+2y=7
20-12y+2y=7
20-10y=7
-10y=7-20
-10y=-13
y=13/10
y=1.3
substitute y =1.3 in equation 2
x+3y=5
x+3(1.3)=5
x+3.9=5
x=1.1
therefore x=1.1 and y=1.3
if u find this is difficult method , I will show u an easier method
by elimination method
4x+2y=7 ( eq1)
1x+3y=5 ×4 =4x+12y=20 (eq2)
4x+2y=7
4x+12y=20
(-). (-). (-). ( subtract equation 1 and 2)
-10y=-13
y=13/10
y=1.3
and x=1.1
if u want to do this in graph,
4x+2y=7
2y=7-4x x=2 , 4 , 6
y=7/2-2x y=-0.5 , 4.5 , 8.5
x+3y=5
y=5-x/3. x=2 , 8 , 14
y=1 , -1 , -3
and then mark these two on the graph you will either get intersecting line( when the two lines intersect at one point) , parallel lines ( it will not intersect ) , coinciding lines .
plz mark as brainiest if you liked my answer