Respuesta :
The value of x is 0.1 and y is -0.75, if the given equations are [tex]10x+4y=-2[/tex] and [tex]5x-2y=2[/tex].
Step-by-step explanation:
The given is,
[tex]10x+4y=-2[/tex] .................................(1)
[tex]5x-2y=2[/tex]..................................(2)
Step:1
Equation (2) is multiplied by -2 ( Eqn(2) × -2 )
[tex]-10x+4y=-4[/tex]................................(3)
Step:2
Substrate the equation (1) and (3),
[tex]10x+4y=-2[/tex]
[tex]-10x+4y=-4[/tex]
( - )
[tex](10x+10x)+(4y-4y)=(-2+4)[/tex]
[tex]20x=2[/tex]
[tex]x=\frac{2}{20}[/tex]
= 0.1
x = 0.1
Step:3
Substitute the value of x in equation (1),
[tex]10x+4y=-2[/tex]
Where, x = 0.1
[tex](10)(0.1)+4y=-2[/tex]
[tex]1+4y=-2[/tex]
[tex]4y=-3[/tex]
[tex]y = - \frac{4}{3}[/tex]
[tex]y =- 0.75[/tex]
Step:4
Check for solution,
[tex]5x-2y=2[/tex]
[tex](5)(0.1)-(2)(-0.75)=2[/tex]
[tex]0.5+1.5=2[/tex]
2 = 2
Result:
The value of x is 0.1 and y is -0.75, if the given equations are [tex]10x+4y=-2[/tex] and [tex]5x-2y=2[/tex].
Answer:
A
Step-by-step explanation:
Thanks you plz mark brainliest bc the guy that was before me got it wrong , thx!