0
What are the solutions to the simultaneous equation 3x plus 2y equals 5 and x plus 2y equals 7?
Wiki User
∙ 7y ago
- 3x + 2y = 5
- x + 2y = 7
3x - x + 2y - 2y = 5 - 7
→ 2x = -2
→ x = -1
Substitute for x in (1)
3(-1) + 2y = 5
→ -3 + 2y = 5
→ 2y = 8
→ y = 4
Substitute for x and y in (2) to check answer:
x + 2y = -1 +2(4) = -1 + 8 = 7 as required. Thus:
x = -1
y = 4
Wiki User
∙ 7y ago
Add your answer:
Earn +20 pts
What is 2x plus 3y equals 17 and 3x minus 2y equals 0.5?
It is a simultaneous equation and when solved its solutions are x = 71/26 and y = 50/13
What is the simultaneous equation for 2x plus 5y equals 20?
Another straight line equation is needed such that both simultaneous equations will intersect at one point.
What are the solutions to the simultaneous equations of x square plus y square plus 4x plus 6y minus 40 equals 0 and x minus y equals 10?
Rearrange the second equation as x = 10+y and then substitute it into the first equation which will create a quadratic equation in the form of: 2y2+30y+100 = 0 and when solved y = -10 or y = -5 Therefore the solutions are: x = 0, y = -10 and x = 5, y = -5
What type of system is 3x plus 2y equals 7 and -4x-3y equals 10?
They are simultaneous equations and their solutions are x = 41 and y = -58
Is 4y squared plus 9 equals - 4 a linear equation?
No. It's a quadratic equation, and it has two solutions.
What is 2x plus 3y equals 17 and 3x minus 2y equals 0.5?
It is a simultaneous equation and when solved its solutions are x = 71/26 and y = 50/13
What are the solutions to the simultaneous equation of 3x plus 2y equals 5x plus 2y equals 14 showing work?
If: 3x+2y = 5x+2y = 14 Then: 3x+2y = 14 and 5x+2y =14 Subtract the 1st equation from the 2nd equation: 2x = 0 Therefore by substitution the solutions are: x = 0 and y = 7
What are the solutions to the simultaneous equations of 3x -y equals 5 and 2x2 plus y2 equals 129?
The solutions work out as: x = 52/11, y = 101/11 and x = -2, y = -11
What is the simultaneous equation for 2x plus 5y equals 20?
Another straight line equation is needed such that both simultaneous equations will intersect at one point.
What are the solutions to the simultaneous equations of 2s plus 3x equals 31 and 3s plus 4x equals 44?
Through a process of elimination and substitution the solutions are s = 8 and x = 5
How many positive integer solutions are there to the equation x plus y plus z equals 17?
There are 120 solutions.
What are the solutions to the simultaneous equations of x square plus y square plus 4x plus 6y minus 40 equals 0 and x minus y equals 10?
Rearrange the second equation as x = 10+y and then substitute it into the first equation which will create a quadratic equation in the form of: 2y2+30y+100 = 0 and when solved y = -10 or y = -5 Therefore the solutions are: x = 0, y = -10 and x = 5, y = -5
How many real solutions are there for the equation x2 plus 3x plus 5 equals 0?
There are no real solutions because the discriminant of the quadratic equation is less than zero.
What type of system is 3x plus 2y equals 7 and -4x-3y equals 10?
They are simultaneous equations and their solutions are x = 41 and y = -58
What is 9x2 equals 10x plus 2?
It is a quadratic equation and its solutions can be found by using the quadratic equation formula.
Is 4y squared plus 9 equals - 4 a linear equation?
No. It's a quadratic equation, and it has two solutions.
How many solutions are there to the equation 14x plus 5 equals 14x - 19?
1
