Solve the simultaneous equation: 2x - y= 2 3y= 4x - 5
1 answer:
Answer:
x = , y =
<u>Explanation</u>:
2x - y= 2
3y= 4x - 5
<u>Make y the subject:</u>
2x - y= 2
-y = 2 - 2x
y = 2x - 2 <em>.........equation 1 </em>
3y= 4x - 5
y = (4x - 5)/3<em> ........equation 2</em>
From equation 1 and 2 solve them simultaneously:
→ (4x - 5)/3 = 2x - 2
→ 4x - 5= 3(2x - 2)
→ 4x - 5 = 6x - 6
→ 6x - 4x = -5 + 6
→ 2x = 1
→ x = 1/2
- if x is 1/2, then y: 2x - 2
→ 2(1/2)-2
→ -1
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Answer:
So the solution set of the equations are {(-1,4)}
or
the solution is x = -1 and y = 4
Step-by-step explanation:
Equations given to us are
y = -3x + 1 ..................(i)
2x + 5y = 18 .................(ii)
To find the value of x and y or the solution set of the system of equations
Now in first equation we see that
y = -3x + 1
Putting this value in equation (ii)
which is
2x + 5y = 18
Putting value of y from (i) in it
2x + 5(-3x + 1) = 18
Opening the bracket and multiplying inside
2x -15x + 5 = 18
-13 x + 5 = 18
Subtracting 5 from both sides of the equation
-13x + 5 - 5 = 18 -5
-13x = 13
Dividing both sides by -13
Cutting out the same values gives us
x = -1
For value of y
putting value of x in equation (i)
which is
y = -3x + 1
Putting the value
y = -3(-1)+1
y=3+1
y=4
So the solution set of the equations are {(-1,4)}
or
the solution is x = -1 and y = 4