Use the substitution method to solve these simultaneous equations.

a) 3x + 2y = 33
y = 41 - 5x

b) y = 3x - 3
-5x + 3y = 3

c) 4x + y = 9
y = 11 - 5x

d) x = -5 - 2y
5y + x = -11

e) y = 2x + 1
-5x - 4y = 35

Respuesta :

smuju6

Answer:

Step-by-step explanation:

a) 3x+2(41-5x)=33            as y=41-5x is given

3x+82-10x=33

-7x+82=33

-7x=33-82

-7x=-49        cut the negative signs as its LHS and RHS

x=49/7=7

b)-5x+3(3x-3)=3   as y=3x-3 is given

-5x+9x-9=3

4x-9=3

4x=3+9

x=12/4=3

c)4x+11-5x=9

-x+11=9

-x=9-11

-x=-2         cut the negative signs as its LHS and RHS

x=2

d) 5y+ -5-2y=-11      as x=-5-2y is given

3y+-5=-11

3y=-11+5

3y=-6

y=-6/3=-2

e)-5x-4(2x+1)=35       as y=2x+1

-5x-8x+4=35

3x+4=35

3x=35-4

3x=31

x=31/3

x=10.3

a) 3x+2(41-5x)=33   and  as y=41-5x is given

  3x+82-10x=33

 -7x+82=33

 -7x=33-82

 -7x=-49        cut the negative signs as its LHS and RHS

  x=49/7= 7

b)-5x+3(3x-3)=3 and as y=3x-3 is given

   -5x+9x-9=3

   4x-9=3

   4x=3+9

   x=12/4= 3

c) 4x+11-5x=9

  -x+11=9

   -x=9-11

   -x=-2         cut the negative signs as its LHS and RHS

    x=  2

d) 5y+ -5-2y=-11      and as x=-5-2y is given

   3y+-5=-11

   3y=-11+5

    3y=  -6

   y=-6/3=-2

e) -5x-4(2x+1)=35   and    as y=2x+1

   -5x-8x+4=35

   3x+4=35

   3x=35-4

   3x=31

  x=31/3

   x=  10.3

What is substitution method with example?

The first step in the substitution method is to find the value of any one of the variables from one equation in terms of the other variable. For example, if there are two equations x+y=7 and x-y=8, then from the first equation we can find that x=7-y. Substitute (plug-in) this expression into the other equation and solve. Resubstitute the value into the original equation to find the corresponding variable.

What is substitution math?

Substitution is the name given to the process of swapping an algebraic letter for its value. Consider the expression 8 + 4. This can take on a range of values depending on what number actually is. If we are told = 5, we can work out the value of the expression by swapping the for the number 5. One of the methods to solve a system of linear equations in two variables algebraically is the substitution method.  In this method, we find the value of any one of the variables by isolating it on one side and taking every other term on the other side of the equation.

To learn more about substitution method, refer

https://brainly.com/question/22340165

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