Answer:x=4 y=3
Step-by-step explanation:
Let's solve your system by substitution.
2x−1=y+4;3y+1=3x−2
Step: Solve2x−1=y+4for y:
2x−1=y+4
2x−1+−y=y+4+−y(Add -y to both sides)
2x−y−1=4
2x−y−1+−2x=4+−2x(Add -2x to both sides)
−y−1=−2x+4
−y−1+1=−2x+4+1(Add 1 to both sides)
−y=−2x+5
−y
−1
=
−2x+5
−1
(Divide both sides by -1)
y=2x−5
Step: Substitute2x−5foryin3y+1=3x−2:
3y+1=3x−2
3(2x−5)+1=3x−2
6x−14=3x−2(Simplify both sides of the equation)
6x−14+−3x=3x−2+−3x(Add -3x to both sides)
3x−14=−2
3x−14+14=−2+14(Add 14 to both sides)
3x=12
3x
3
=
12
3
(Divide both sides by 3)
x=4
Step: Substitute4forxiny=2x−5:
y=2x−5
y=(2)(4)−5
y=3(Simplify both sides of the equation)
A. -4
b. -6
c. 0 if the expression is 6 - 8 + 2 but if it is 6 - 8 ÷ 2 = 2
d. -2.1
<h3>Solution :-</h3>
➩ 70 = 12 + 9x - 2 ( x + 6 )
➩ 70 = 12 + 9x - 2x - 12
➩ 70 = 0 + 7x
➩ 70 = 7x
Here we can use 2 methods
Methods :-
- Trial and error method :- By adding,subtracting , multiplying or dividing the same variable or constant on LHS & RHS
- Transposing :- by transposing a term from LHS to RHS or RHS to LHS
• Trial and error
By dividing with 7 on both sides
➩ 70/7 = 7x/7
➩ x = 10
• Transposing
By transposing 7 from RHS. to LHS
➩ 70/7 = x
➩ x = 10
Hence , x = 10
