Respuesta :
Answer:
the ferst one is x=[tex]\frac{2}{7} y+\frac{-24}{7}[/tex]t
The solution of equation 7x-2y=-24 and 5x=+5y= 15, using the substitution method of solving linear equation is (-2, 5)
What is substitution method for solving linear equation?
Substitution method is the method of solving two or more linear equation, by substituting the value of one variable in terms of other variable to find the value of other variable.
Given information-
The first equation given in the problem is,
[tex]7x-2y=-24[/tex]
The second equation given in the problem is,
[tex]5x+5y= 15[/tex]
Solve the first equation, by eliminating method as,
[tex]7x-2y=-24\\7x=-24+2y\\x=\dfrac{-24+2y}{7}[/tex]
Let the above equation as equation number 3.
Now solve the second equation, by putting the value of x from equation 3 as,
[tex]5\left(\dfrac{-24+2y}{7}\right)+5y= 15\\\left(\dfrac{-120+10y+35y}{7}\right)= 15\\-120+45y= 105\\45y=105+120\\y=\dfrac{225}{45}\\y=5[/tex]
Now, put the value of y in equation 3 as,
[tex]x=\dfrac{-24+2\times5}{7}\\x=\dfrac{-14}{7}\\x=-2[/tex]
Thus the value of x is -2.
Hence, the solution of equation 7x-2y=-24 and 5x=+5y= 15, using the substitution method of solving linear equation is (-2, 5)
Learn more about the substitution method here;
https://brainly.com/question/22340165
