2. An equation represents ___________ of two algebraic expressions process in which.
4. In __________ the boat has to work against the current of water.
5. The equation which are not linear but can be solved by using methods of solving linear
equations.
6. The highest power of the variable appearing in the equation is 1.
8. If a/b = p/q, then a x q = b x p. This process is called _________ multiplication.
9. 5x – 4y = 5 is a linear equation I two ________.
Answers
5x+4y=55x+4y=5 is a linear equation. Its graph is a straight line in the xyxy-plane.
Get yy by itself so that the equation is in the form y=mx+b.y=mx+b. Then obtain the slope mm and yy-intercept (00, bb) of this line:
5x+4y=5⟹4y=−5x+55x+4y=5⟹4y=−5x+5
⟹y=−54x+54⟹y=−54x+54
⟹m=−54 ⟹m=−54
and b=54⟹(0, b)=(0, 54).and b=54⟹(0, b)=(0, 54).
If integer solutions of this equation are sought, then it is called a linear diophantine equation.
This equation has integer solutions because GCD(44, 55) = 11 divides the right-hand side 5.5.
The Euclidean algorithm can be used to find xx and y.y.
Iteration is another method for getting integer solutions. Solve for the variable with the smaller coefficient in absolute value until an integer solution is obtained:
5x+4y=5⟹4y=−5x+55x+4y=5⟹4y=−5x+5
⟹4y=−4x
Answer:
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