which one is easir to solve??
-2a+b=7
or 5a+b=-10
To determine which equation is easier to solve, we can compare their coefficients and constants.
Let's analyze the equations one by one:
Equation 1: -2a+b=7
Equation 2: 5a+b=-10
Equation 1 has coefficients -2 and 1 for the variables 'a' and 'b' respectively, and a constant term of 7.
Equation 2 has coefficients 5 and 1 for the variables 'a' and 'b' respectively, and a constant term of -10.
In terms of difficulty, it depends on personal preference and comfort with certain numbers.
However, comparing the two equations, Equation 1 (-2a+b=7) seems easier due to the smaller coefficient values and a positive constant term. Solving equations with smaller numbers is generally considered simpler since the calculations involved are easier and less prone to arithmetic errors.
To solve Equation 1:
1. Simplify the equation: -2a + b = 7
2. If needed, isolate the variable 'b' by adding 2a to both sides: b = 2a + 7
For Equation 2, the process to solve it is similar:
1. Simplify the equation: 5a + b = -10
2. If needed, isolate the variable 'b' by subtracting 5a from both sides: b = -5a - 10
Again, the perceived difficulty may vary from person to person, but based on the coefficients and constant terms, Equation 1 seems easier to solve.