suresh scored 15 mareks more than ramesh in maths.if the sum of their marks in maths is 275.write the statement in linear equation in two variables
15x + y = 0
x + y = 275
y = x+15
x + y = 275
15x + y = 0 ---------- 1 x1
x + y = 275 -------- 2 x15
15x + y = 0
15x +15y = 4125
- - -
----------------------
0 -14y = -4125
y = -4125
-14
i don't know pls help me
ans x=130 and y=145 is it right pls help me
Steve gave you the two equations, so use substitution.
y = x + 15
x+y = 275
sub 1st into 2nd
x + (x+15) = 275
2x = 260
x = 130
back into y = x+15
y = 130+15 = 145
maybe it can be like this one
15x+y=0............(1)
x+y=275........(2)
solution
x=275-y
substitute x=275-y into equation 1
15(275-y)=0
4125-5y=0
5y=0+4125
5y=4125
dived 5 both sides
y=275
substituting y=275 into equ 2
x+y=275
x+275=275
x=275-275
x=0
y=275
x=0
Suresh = x, Ramesh = y
ATQ, x = y + 15 ......(¡)
x + y = 275 ..... (¡¡)
By substitution
y + y + 15 = 275
2y = 260
y = 130
x = 130 + 15 = 145
To write a linear equation in two variables, we can assign variables to the unknown values in the problem. Let's assign "x" to Ramesh's marks in maths and "y" to Suresh's marks in maths.
According to the problem, Suresh scored 15 marks more than Ramesh. So, we can write the equation as:
y = x + 15
The sum of their marks in maths is 275. This means the sum of Ramesh's marks (x) and Suresh's marks (y) is 275. We can express this as another equation:
x + y = 275
Therefore, the linear equation in two variables is:
x + y = 275
y = x + 15